Least Common Multiple of 14/219, 2118/4952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/219, 2118/4952 quickly i.e. 14826 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/219, 2118/4952 is 14826.

LCM(14/219, 2118/4952) = 14826

LCM of 14/219, 2118/4952

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 14/219,2118/4952

Given numbers are 14/219,2118/4952

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 14,2118

Least Common Multiple of Numerators i.e. LCM of 14,2118 is 14826.

GCF of Denominators means GCF of 219,4952 as per the given fractions.

GCF of 219,4952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,2118

LCM of Fractions 14/219,2118/4952 is 14826

2 14, 2118
7, 1059

∴ So the LCM of the given numbers is 2 x 7 x 1059 = 14826

Least Common Multiple of 14,2118 with GCF Formula

Least Common Multiple of 14,2118 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 14,2118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,2118) = 2

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

GCF(14,2118) x common factors =2 x 1 = 2

LCM(14,2118) = ( 14 × 2118 ) / 2

LCM(14,2118) = 29652 / 2

LCM(14,2118) = 14826


Lets's calculate GCF of 219,4952

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14826/1

Therefore the LCM of Fractions 14/219,2118/4952 is 14826

Greatest Common Factor of 219,4952 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,4952 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1,2,4,8,619,1238,2476,4952

Greatest Common Factor

We found the factors 219,4952 . The biggest common factor number is the GCF number.
So the greatest common factor 219,4952 is 1.


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 14/219, 2118/4952

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 14/219, 2118/4952?

Answer: LCM of Numerators as per given numbers 14/219, 2118/4952 is

LCM of Numerators i.e. for 14,2118 is 14826

GCF of denominators i.e. for 219,4952 is 1.

Thus, LCM of Fractions is 14826.Finally, LCM of Fractions for 14/219, 2118/4952 is 14826.