Least Common Multiple of 498, 372, 392, 416, 473

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 498, 372, 392, 416, 473 i.e. 74423757408 smallest integer divisible by all numbers.

Least common multiple (LCM) of 498, 372, 392, 416, 473 is 74423757408.

LCM(498, 372, 392, 416, 473) = 74423757408

LCM of 498, 372, 392, 416, 473

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

LCM of:

Least Common Multiple of 498,372,392,416,473

Least Common Multiple (LCM) of 498,372,392,416,473 is 74423757408

2 498, 372, 392, 416, 473
2 249, 186, 196, 208, 473
2 249, 93, 98, 104, 473
3 249, 93, 49, 52, 473
83, 31, 49, 52, 473

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 83 x 31 x 49 x 52 x 473 = 74423757408

Least Common Multiple of 498,372,392,416,473 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 498,372,392,416,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,372,392,416,473) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(498,372,392,416,473) x common factors =1 x 192 = 192

LCM(498,372,392,416,473) = ( 498 × 372 × 392 × 416 × 473 ) / 192

LCM(498,372,392,416,473) = 14289361422336 / 192

LCM(498,372,392,416,473) = 74423757408

∴ Least Common Multiple of 498,372,392,416,473 is 74423757408

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 498, 372, 392, 416, 473

1. What is the LCM of 498, 372, 392, 416, 473?

Answer: LCM of 498, 372, 392, 416, 473 is 74423757408.

2. What are the Factors of 74423757408?

Answer: Factors of 74423757408 are . There are integers that are factors of 74423757408

3. How to Find the LCM of 498, 372, 392, 416, 473 ?

Least Common Multiple of 498, 372, 392, 416, 473.

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(498, 372, 392, 416, 473) = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 13 x 31 x 43 x 83 = 74423757408.