Least Common Multiple of 749, 814, 428

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 749, 814, 428 i.e. 1219372 smallest integer divisible by all numbers.

Least common multiple (LCM) of 749, 814, 428 is 1219372.

LCM(749, 814, 428) = 1219372

LCM of 749, 814, 428

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

LCM of:

Least Common Multiple of 749,814,428

Least Common Multiple (LCM) of 749,814,428 is 1219372

2 749, 814, 428
107 749, 407, 214
7, 407, 2

∴ So the LCM of the given numbers is 2 x 107 x 7 x 407 x 2 = 1219372

Least Common Multiple of 749,814,428 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 749,814,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,814,428) = 1

common factors(in case of two or more numbers have common factors) = 214

GCF(749,814,428) x common factors =1 x 214 = 214

LCM(749,814,428) = ( 749 × 814 × 428 ) / 214

LCM(749,814,428) = 260945608 / 214

LCM(749,814,428) = 1219372

∴ Least Common Multiple of 749,814,428 is 1219372

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 749, 814, 428

1. What is the LCM of 749, 814, 428?

Answer: LCM of 749, 814, 428 is 1219372.

2. What are the Factors of 1219372?

Answer: Factors of 1219372 are . There are integers that are factors of 1219372

3. How to Find the LCM of 749, 814, 428 ?

Least Common Multiple of 749, 814, 428.

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(749, 814, 428) = 2 x 2 x 7 x 11 x 37 x 107 = 1219372.