Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 735, 420, 853, 972, 371 i.e. 10766071260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 735, 420, 853, 972, 371 is 10766071260.
LCM(735, 420, 853, 972, 371) = 10766071260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 735, 420, 853, 972, 371 |
2 | 735, 210, 853, 486, 371 |
3 | 735, 105, 853, 243, 371 |
5 | 245, 35, 853, 81, 371 |
7 | 49, 7, 853, 81, 371 |
1, 7, 853, 81, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 7 x 853 x 81 x 53 = 10766071260
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 735,420,853,972,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,420,853,972,371) = 1
common factors(in case of two or more numbers have common factors) = 8820
GCF(735,420,853,972,371) x common factors =1 x 8820 = 8820
LCM(735,420,853,972,371) = ( 735 × 420 × 853 × 972 × 371 ) / 8820
LCM(735,420,853,972,371) = 94956748513200 / 8820
LCM(735,420,853,972,371) = 10766071260
∴ Least Common Multiple of 735,420,853,972,371 is 10766071260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 420, 853, 972, 371?
Answer: LCM of 735, 420, 853, 972, 371 is 10766071260.
2. What are the Factors of 10766071260?
Answer: Factors of 10766071260 are . There are integers that are factors of 10766071260
3. How to Find the LCM of 735, 420, 853, 972, 371 ?
Least Common Multiple of 735, 420, 853, 972, 371.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(735, 420, 853, 972, 371) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 53 x 853 = 10766071260.