کوچک‌ترین مضرب مشترک: تفاوت میان نسخه‌ها
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خط ۲۸:
<math>\operatorname{lcm}(a,b)=\frac{|a\cdot b|}{\gcd(a,b)}</math>
{{پایان وسط‌چین}}
از آنجا كه ب.م.م دو عدد شمارنده هر دو
<ref name=":0">{{Cite web|date=2020-03-25|title=Comprehensive List of Algebra Symbols|url=https://mathvault.ca/hub/higher-math/math-symbols/algebra-symbols/|access-date=2020-08-30|website=Math Vault|language=en-US}}</ref><ref name="Long 1972 33">{{harvtxt|Long|1972|p=33}}</ref><ref name="Pettofrezzo 1970 34">{{harvtxt|Pettofrezzo|Byrkit|1970|p=34}}</ref>
In the name "greatest common divisor", the adjective "greatest" may be replaced by "highest", and the word "divisor" may be replaced by "factor", so that other names include '''greatest common factor''' ('''gcf'''), etc.<ref>{{citation
| last = Kelley | first = W. Michael
| isbn = 9781592571611
| page = 142
| publisher = Penguin
| title = The Complete Idiot's Guide to Algebra
| url = https://books.google.com/books?id=K1hCltk-2RwC&pg=PA142
| year = 2004}}.</ref><ref>{{citation
| last = Jones | first = Allyn
| isbn = 9781864413786
| page = 16
| publisher = Pascal Press
| title = Whole Numbers, Decimals, Percentages and Fractions Year 7
| url = https://books.google.com/books?id=l-ItSuk-zngC&pg=PA16
| year = 1999}}.</ref><ref name="Hardy&Wright 1979 20"/><ref>Some authors treat '''{{vanchor|greatest common denominator}}''' as synonymous with ''greatest common divisor''. This contradicts the common meaning of the words that are used, as ''[[denominator]]'' refers to [[fraction (mathematics)|fractions]], and two fractions do not have any greatest common denominator (if two fractions have the same denominator, one obtains a greater common denominator by multiplying all numerators and denominators by the same [[integer]]).</ref>
، بهتر است اول تقسيم و سپاس ضرب كرد كه بدين ترتيب ک.م.م به اين شكل تعريف خواهد شد:
{{وسط‌چین}}
:<math>\operatorname{lcm}(a,b)=\left({|a|\over\gcd(a,b)}\right)\cdot |b|=\left({|b|\over\gcd(a,b)}\right)\cdot |a|.</math>
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