Least Common Multiple of 21, 27, 49, 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 21, 27, 49, 343 i.e. 9261 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 27, 49, 343 is 9261.

LCM(21, 27, 49, 343) = 9261

LCM of 21, 27, 49, 343

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

LCM of:

Least Common Multiple of 21,27,49,343

Least Common Multiple (LCM) of 21,27,49,343 is 9261

3 21, 27, 49, 343
7 7, 9, 49, 343
7 1, 9, 7, 49
1, 9, 1, 7

∴ So the LCM of the given numbers is 3 x 7 x 7 x 1 x 9 x 1 x 7 = 9261

Least Common Multiple of 21,27,49,343 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 21,27,49,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,27,49,343) = 1

common factors(in case of two or more numbers have common factors) = 1029

GCF(21,27,49,343) x common factors =1 x 1029 = 1029

LCM(21,27,49,343) = ( 21 × 27 × 49 × 343 ) / 1029

LCM(21,27,49,343) = 9529569 / 1029

LCM(21,27,49,343) = 9261

∴ Least Common Multiple of 21,27,49,343 is 9261

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 27, 49, 343

1. What is the LCM of 21, 27, 49, 343?

Answer: LCM of 21, 27, 49, 343 is 9261.

2. What are the Factors of 9261?

Answer: Factors of 9261 are . There are integers that are factors of 9261

3. How to Find the LCM of 21, 27, 49, 343 ?

Least Common Multiple of 21, 27, 49, 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(21, 27, 49, 343) = 3 x 3 x 3 x 7 x 7 x 7 = 9261.