Least Common Multiple of 84/52, 277/34, 492/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/52, 277/34, 492/718 quickly i.e. 476994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/52, 277/34, 492/718 is 476994.

LCM(84/52, 277/34, 492/718) = 476994

LCM of 84/52, 277/34, 492/718

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 84/52,277/34,492/718

Given numbers are 84/52,277/34,492/718

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 84,277,492

Least Common Multiple of Numerators i.e. LCM of 84,277,492 is 953988.

GCF of Denominators means GCF of 52,34,718 as per the given fractions.

GCF of 52,34,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,277,492

LCM of Fractions 84/52,277/34,492/718 is 476994

2 84, 277, 492
2 42, 277, 246
3 21, 277, 123
7, 277, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 277 x 41 = 953988

Least Common Multiple of 84,277,492 with GCF Formula

Least Common Multiple of 84,277,492 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 84,277,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,277,492) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,277,492) x common factors =1 x 12 = 12

LCM(84,277,492) = ( 84 × 277 × 492 ) / 12

LCM(84,277,492) = 11447856 / 12

LCM(84,277,492) = 953988


Lets's calculate GCF of 52,34,718

2 52, 34, 718
26, 17, 359

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 953988/2

Therefore the LCM of Fractions 84/52,277/34,492/718 is 476994

Greatest Common Factor of 52,34,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,34,718 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 52,34,718 . The biggest common factor number is the GCF number.
So the greatest common factor 52,34,718 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 84/52, 277/34, 492/718

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 84/52, 277/34, 492/718?

Answer: LCM of Numerators as per given numbers 84/52, 277/34, 492/718 is

LCM of Numerators i.e. for 84,277,492 is 953988

GCF of denominators i.e. for 52,34,718 is 2.

Thus, LCM of Fractions is 476994.Finally, LCM of Fractions for 84/52, 277/34, 492/718 is 476994.