Least Common Multiple of 52/156, 1914/4845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/156, 1914/4845 quickly i.e. 16588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/156, 1914/4845 is 16588.

LCM(52/156, 1914/4845) = 16588

LCM of 52/156, 1914/4845

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 52/156,1914/4845

Given numbers are 52/156,1914/4845

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 52,1914

Least Common Multiple of Numerators i.e. LCM of 52,1914 is 49764.

GCF of Denominators means GCF of 156,4845 as per the given fractions.

GCF of 156,4845 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,1914

LCM of Fractions 52/156,1914/4845 is 16588

2 52, 1914
26, 957

∴ So the LCM of the given numbers is 2 x 26 x 957 = 49764

Least Common Multiple of 52,1914 with GCF Formula

Least Common Multiple of 52,1914 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 52,1914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,1914) = 2

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

GCF(52,1914) x common factors =2 x 1 = 2

LCM(52,1914) = ( 52 × 1914 ) / 2

LCM(52,1914) = 99528 / 2

LCM(52,1914) = 49764


Lets's calculate GCF of 156,4845

3 156, 4845
52, 1615

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49764/3

Therefore the LCM of Fractions 52/156,1914/4845 is 16588

Greatest Common Factor of 156,4845 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,4845 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 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1,3,5,15,17,19,51,57,85,95,255,285,323,969,1615,4845

Greatest Common Factor

We found the factors 156,4845 . The biggest common factor number is the GCF number.
So the greatest common factor 156,4845 is 3.


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 52/156, 1914/4845

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 52/156, 1914/4845?

Answer: LCM of Numerators as per given numbers 52/156, 1914/4845 is

LCM of Numerators i.e. for 52,1914 is 49764

GCF of denominators i.e. for 156,4845 is 3.

Thus, LCM of Fractions is 16588.Finally, LCM of Fractions for 52/156, 1914/4845 is 16588.