Least Common Multiple of 66/156, 2854/4338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/156, 2854/4338 quickly i.e. 15697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/156, 2854/4338 is 15697.

LCM(66/156, 2854/4338) = 15697

LCM of 66/156, 2854/4338

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 66/156,2854/4338

Given numbers are 66/156,2854/4338

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 66,2854

Least Common Multiple of Numerators i.e. LCM of 66,2854 is 94182.

GCF of Denominators means GCF of 156,4338 as per the given fractions.

GCF of 156,4338 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,2854

LCM of Fractions 66/156,2854/4338 is 15697

2 66, 2854
33, 1427

∴ So the LCM of the given numbers is 2 x 33 x 1427 = 94182

Least Common Multiple of 66,2854 with GCF Formula

Least Common Multiple of 66,2854 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 66,2854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,2854) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(66,2854) x common factors =2 x 1 = 2

LCM(66,2854) = ( 66 × 2854 ) / 2

LCM(66,2854) = 188364 / 2

LCM(66,2854) = 94182


Lets's calculate GCF of 156,4338

2 156, 4338
3 78, 2169
26, 723

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94182/6

Therefore the LCM of Fractions 66/156,2854/4338 is 15697

Greatest Common Factor of 156,4338 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,4338 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 4338

List of positive integer factors of 4338 that divides 4338 without a remainder.

1,2,3,6,9,18,241,482,723,1446,2169,4338

Greatest Common Factor

We found the factors 156,4338 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4338 is 6.


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 66/156, 2854/4338

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 66/156, 2854/4338?

Answer: LCM of Numerators as per given numbers 66/156, 2854/4338 is

LCM of Numerators i.e. for 66,2854 is 94182

GCF of denominators i.e. for 156,4338 is 6.

Thus, LCM of Fractions is 15697.Finally, LCM of Fractions for 66/156, 2854/4338 is 15697.