Least Common Multiple of 234/118, 648/208, 120/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/118, 648/208, 120/954 quickly i.e. 21060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/118, 648/208, 120/954 is 21060.

LCM(234/118, 648/208, 120/954) = 21060

LCM of 234/118, 648/208, 120/954

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 234/118,648/208,120/954

Given numbers are 234/118,648/208,120/954

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 234,648,120

Least Common Multiple of Numerators i.e. LCM of 234,648,120 is 42120.

GCF of Denominators means GCF of 118,208,954 as per the given fractions.

GCF of 118,208,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,648,120

LCM of Fractions 234/118,648/208,120/954 is 21060

2 234, 648, 120
2 117, 324, 60
2 117, 162, 30
3 117, 81, 15
3 39, 27, 5
13, 9, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 9 x 5 = 42120

Least Common Multiple of 234,648,120 with GCF Formula

Least Common Multiple of 234,648,120 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 234,648,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,648,120) = 6

common factors(in case of two or more numbers have common factors) = 72

GCF(234,648,120) x common factors =6 x 72 = 432

LCM(234,648,120) = ( 234 × 648 × 120 ) / 432

LCM(234,648,120) = 18195840 / 432

LCM(234,648,120) = 42120


Lets's calculate GCF of 118,208,954

2 118, 208, 954
59, 104, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42120/2

Therefore the LCM of Fractions 234/118,648/208,120/954 is 21060

Greatest Common Factor of 118,208,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,208,954 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 118,208,954 . The biggest common factor number is the GCF number.
So the greatest common factor 118,208,954 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 234/118, 648/208, 120/954

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 234/118, 648/208, 120/954?

Answer: LCM of Numerators as per given numbers 234/118, 648/208, 120/954 is

LCM of Numerators i.e. for 234,648,120 is 42120

GCF of denominators i.e. for 118,208,954 is 2.

Thus, LCM of Fractions is 21060.Finally, LCM of Fractions for 234/118, 648/208, 120/954 is 21060.