Least Common Multiple of 214, 269, 829, 364

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 214, 269, 829, 364 i.e. 8685442948 smallest integer divisible by all numbers.

Least common multiple (LCM) of 214, 269, 829, 364 is 8685442948.

LCM(214, 269, 829, 364) = 8685442948

LCM of 214, 269, 829, 364

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

LCM of:

Least Common Multiple of 214,269,829,364

Least Common Multiple (LCM) of 214,269,829,364 is 8685442948

2 214, 269, 829, 364
107, 269, 829, 182

∴ So the LCM of the given numbers is 2 x 107 x 269 x 829 x 182 = 8685442948

Least Common Multiple of 214,269,829,364 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 214,269,829,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,269,829,364) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(214,269,829,364) x common factors =1 x 2 = 2

LCM(214,269,829,364) = ( 214 × 269 × 829 × 364 ) / 2

LCM(214,269,829,364) = 17370885896 / 2

LCM(214,269,829,364) = 8685442948

∴ Least Common Multiple of 214,269,829,364 is 8685442948

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 214, 269, 829, 364

1. What is the LCM of 214, 269, 829, 364?

Answer: LCM of 214, 269, 829, 364 is 8685442948.

2. What are the Factors of 8685442948?

Answer: Factors of 8685442948 are . There are integers that are factors of 8685442948

3. How to Find the LCM of 214, 269, 829, 364 ?

Least Common Multiple of 214, 269, 829, 364.

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(214, 269, 829, 364) = 2 x 2 x 7 x 13 x 107 x 269 x 829 = 8685442948.