Least Common Multiple of 4, 74, 361

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 4, 74, 361 i.e. 53428 smallest integer divisible by all numbers.

Least common multiple (LCM) of 4, 74, 361 is 53428.

LCM(4, 74, 361) = 53428

LCM of 4, 74, 361

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

LCM of:

Least Common Multiple of 4,74,361

Least Common Multiple (LCM) of 4,74,361 is 53428

2 4, 74, 361
2, 37, 361

∴ So the LCM of the given numbers is 2 x 2 x 37 x 361 = 53428

Least Common Multiple of 4,74,361 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 4,74,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,74,361) = 1

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

GCF(4,74,361) x common factors =1 x 2 = 2

LCM(4,74,361) = ( 4 × 74 × 361 ) / 2

LCM(4,74,361) = 106856 / 2

LCM(4,74,361) = 53428

∴ Least Common Multiple of 4,74,361 is 53428

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 4, 74, 361

1. What is the LCM of 4, 74, 361?

Answer: LCM of 4, 74, 361 is 53428.

2. What are the Factors of 53428?

Answer: Factors of 53428 are . There are integers that are factors of 53428

3. How to Find the LCM of 4, 74, 361 ?

Least Common Multiple of 4, 74, 361.

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(4, 74, 361) = 2 x 2 x 19 x 19 x 37 = 53428.