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 914, 776, 970, 420 i.e. 37236360 smallest integer divisible by all numbers.
Least common multiple (LCM) of 914, 776, 970, 420 is 37236360.
LCM(914, 776, 970, 420) = 37236360
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 914, 776, 970, 420 |
2 | 457, 388, 485, 210 |
5 | 457, 194, 485, 105 |
97 | 457, 194, 97, 21 |
457, 2, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 97 x 457 x 2 x 1 x 21 = 37236360
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 914,776,970,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,776,970,420) = 2
common factors(in case of two or more numbers have common factors) = 3880
GCF(914,776,970,420) x common factors =2 x 3880 = 7760
LCM(914,776,970,420) = ( 914 × 776 × 970 × 420 ) / 7760
LCM(914,776,970,420) = 288954153600 / 7760
LCM(914,776,970,420) = 37236360
∴ Least Common Multiple of 914,776,970,420 is 37236360
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 776, 970, 420?
Answer: LCM of 914, 776, 970, 420 is 37236360.
2. What are the Factors of 37236360?
Answer: Factors of 37236360 are . There are integers that are factors of 37236360
3. How to Find the LCM of 914, 776, 970, 420 ?
Least Common Multiple of 914, 776, 970, 420.
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(914, 776, 970, 420) = 2 x 2 x 2 x 3 x 5 x 7 x 97 x 457 = 37236360.