Least Common Multiple of 54, 84, 91, 343

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, 84, 91, 343 i.e. 481572 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 84, 91, 343 is 481572.

LCM(54, 84, 91, 343) = 481572

LCM of 54, 84, 91, 343

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

LCM of:

Least Common Multiple of 54,84,91,343

Least Common Multiple (LCM) of 54,84,91,343 is 481572

2 54, 84, 91, 343
3 27, 42, 91, 343
7 9, 14, 91, 343
9, 2, 13, 49

∴ So the LCM of the given numbers is 2 x 3 x 7 x 9 x 2 x 13 x 49 = 481572

Least Common Multiple of 54,84,91,343 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 54,84,91,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,84,91,343) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(54,84,91,343) x common factors =1 x 294 = 294

LCM(54,84,91,343) = ( 54 × 84 × 91 × 343 ) / 294

LCM(54,84,91,343) = 141582168 / 294

LCM(54,84,91,343) = 481572

∴ Least Common Multiple of 54,84,91,343 is 481572

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 54, 84, 91, 343

1. What is the LCM of 54, 84, 91, 343?

Answer: LCM of 54, 84, 91, 343 is 481572.

2. What are the Factors of 481572?

Answer: Factors of 481572 are . There are integers that are factors of 481572

3. How to Find the LCM of 54, 84, 91, 343 ?

Least Common Multiple of 54, 84, 91, 343.

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, 84, 91, 343) = 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7 x 13 = 481572.