Least Common Multiple of 76/118, 388/353, 120/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/118, 388/353, 120/827 quickly i.e. 221160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/118, 388/353, 120/827 is 221160.

LCM(76/118, 388/353, 120/827) = 221160

LCM of 76/118, 388/353, 120/827

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 76/118,388/353,120/827

Given numbers are 76/118,388/353,120/827

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 76,388,120

Least Common Multiple of Numerators i.e. LCM of 76,388,120 is 221160.

GCF of Denominators means GCF of 118,353,827 as per the given fractions.

GCF of 118,353,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,388,120

LCM of Fractions 76/118,388/353,120/827 is 221160

2 76, 388, 120
2 38, 194, 60
19, 97, 30

∴ So the LCM of the given numbers is 2 x 2 x 19 x 97 x 30 = 221160

Least Common Multiple of 76,388,120 with GCF Formula

Least Common Multiple of 76,388,120 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 76,388,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,388,120) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(76,388,120) x common factors =4 x 4 = 16

LCM(76,388,120) = ( 76 × 388 × 120 ) / 16

LCM(76,388,120) = 3538560 / 16

LCM(76,388,120) = 221160


Lets's calculate GCF of 118,353,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221160/1

Therefore the LCM of Fractions 76/118,388/353,120/827 is 221160

Greatest Common Factor of 118,353,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,353,827 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 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 118,353,827 . The biggest common factor number is the GCF number.
So the greatest common factor 118,353,827 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 76/118, 388/353, 120/827

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 76/118, 388/353, 120/827?

Answer: LCM of Numerators as per given numbers 76/118, 388/353, 120/827 is

LCM of Numerators i.e. for 76,388,120 is 221160

GCF of denominators i.e. for 118,353,827 is 1.

Thus, LCM of Fractions is 221160.Finally, LCM of Fractions for 76/118, 388/353, 120/827 is 221160.