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 741, 846, 418, 966, 735 i.e. 12952509570 smallest integer divisible by all numbers.
Least common multiple (LCM) of 741, 846, 418, 966, 735 is 12952509570.
LCM(741, 846, 418, 966, 735) = 12952509570
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 741, 846, 418, 966, 735 |
3 | 741, 423, 209, 483, 735 |
7 | 247, 141, 209, 161, 245 |
19 | 247, 141, 209, 23, 35 |
13, 141, 11, 23, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 13 x 141 x 11 x 23 x 35 = 12952509570
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 741,846,418,966,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,846,418,966,735) = 1
common factors(in case of two or more numbers have common factors) = 14364
GCF(741,846,418,966,735) x common factors =1 x 14364 = 14364
LCM(741,846,418,966,735) = ( 741 × 846 × 418 × 966 × 735 ) / 14364
LCM(741,846,418,966,735) = 186049847463480 / 14364
LCM(741,846,418,966,735) = 12952509570
∴ Least Common Multiple of 741,846,418,966,735 is 12952509570
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 741, 846, 418, 966, 735?
Answer: LCM of 741, 846, 418, 966, 735 is 12952509570.
2. What are the Factors of 12952509570?
Answer: Factors of 12952509570 are . There are integers that are factors of 12952509570
3. How to Find the LCM of 741, 846, 418, 966, 735 ?
Least Common Multiple of 741, 846, 418, 966, 735.
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(741, 846, 418, 966, 735) = 2 x 3 x 3 x 5 x 7 x 7 x 11 x 13 x 19 x 23 x 47 = 12952509570.