Least Common Multiple of 54, 98, 68, 578

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 54, 98, 68, 578 i.e. 1529388 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 98, 68, 578 is 1529388.

LCM(54, 98, 68, 578) = 1529388

LCM of 54, 98, 68, 578

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

LCM of:

Least Common Multiple of 54,98,68,578

Least Common Multiple (LCM) of 54,98,68,578 is 1529388

2 54, 98, 68, 578
17 27, 49, 34, 289
27, 49, 2, 17

∴ So the LCM of the given numbers is 2 x 17 x 27 x 49 x 2 x 17 = 1529388

Least Common Multiple of 54,98,68,578 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 54,98,68,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,98,68,578) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(54,98,68,578) x common factors =2 x 68 = 136

LCM(54,98,68,578) = ( 54 × 98 × 68 × 578 ) / 136

LCM(54,98,68,578) = 207996768 / 136

LCM(54,98,68,578) = 1529388

∴ Least Common Multiple of 54,98,68,578 is 1529388

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 54, 98, 68, 578

1. What is the LCM of 54, 98, 68, 578?

Answer: LCM of 54, 98, 68, 578 is 1529388.

2. What are the Factors of 1529388?

Answer: Factors of 1529388 are . There are integers that are factors of 1529388

3. How to Find the LCM of 54, 98, 68, 578 ?

Least Common Multiple of 54, 98, 68, 578.

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(54, 98, 68, 578) = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 17 x 17 = 1529388.