Least Common Multiple of 814, 946, 399, 414

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 814, 946, 399, 414 i.e. 963640062 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 946, 399, 414 is 963640062.

LCM(814, 946, 399, 414) = 963640062

LCM of 814, 946, 399, 414

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 814,946,399,414

Least Common Multiple (LCM) of 814,946,399,414 is 963640062

2 814, 946, 399, 414
3 407, 473, 399, 207
11 407, 473, 133, 69
37, 43, 133, 69

∴ So the LCM of the given numbers is 2 x 3 x 11 x 37 x 43 x 133 x 69 = 963640062

Least Common Multiple of 814,946,399,414 with GCF Formula

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 814,946,399,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,946,399,414) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(814,946,399,414) x common factors =1 x 132 = 132

LCM(814,946,399,414) = ( 814 × 946 × 399 × 414 ) / 132

LCM(814,946,399,414) = 127200488184 / 132

LCM(814,946,399,414) = 963640062

∴ Least Common Multiple of 814,946,399,414 is 963640062

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 814, 946, 399, 414

1. What is the LCM of 814, 946, 399, 414?

Answer: LCM of 814, 946, 399, 414 is 963640062.

2. What are the Factors of 963640062?

Answer: Factors of 963640062 are . There are integers that are factors of 963640062

3. How to Find the LCM of 814, 946, 399, 414 ?

Least Common Multiple of 814, 946, 399, 414.

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(814, 946, 399, 414) = 2 x 3 x 3 x 7 x 11 x 19 x 23 x 37 x 43 = 963640062.