Least Common Multiple of 119/302, 420/996, 555/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/302, 420/996, 555/847 quickly i.e. 264180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/302, 420/996, 555/847 is 264180.

LCM(119/302, 420/996, 555/847) = 264180

LCM of 119/302, 420/996, 555/847

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 119/302,420/996,555/847

Given numbers are 119/302,420/996,555/847

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 119,420,555

Least Common Multiple of Numerators i.e. LCM of 119,420,555 is 264180.

GCF of Denominators means GCF of 302,996,847 as per the given fractions.

GCF of 302,996,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,420,555

LCM of Fractions 119/302,420/996,555/847 is 264180

3 119, 420, 555
5 119, 140, 185
7 119, 28, 37
17, 4, 37

∴ So the LCM of the given numbers is 3 x 5 x 7 x 17 x 4 x 37 = 264180

Least Common Multiple of 119,420,555 with GCF Formula

Least Common Multiple of 119,420,555 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 119,420,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,420,555) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(119,420,555) x common factors =1 x 105 = 105

LCM(119,420,555) = ( 119 × 420 × 555 ) / 105

LCM(119,420,555) = 27738900 / 105

LCM(119,420,555) = 264180


Lets's calculate GCF of 302,996,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264180/1

Therefore the LCM of Fractions 119/302,420/996,555/847 is 264180

Greatest Common Factor of 302,996,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,996,847 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 302,996,847 . The biggest common factor number is the GCF number.
So the greatest common factor 302,996,847 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 119/302, 420/996, 555/847

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 119/302, 420/996, 555/847?

Answer: LCM of Numerators as per given numbers 119/302, 420/996, 555/847 is

LCM of Numerators i.e. for 119,420,555 is 264180

GCF of denominators i.e. for 302,996,847 is 1.

Thus, LCM of Fractions is 264180.Finally, LCM of Fractions for 119/302, 420/996, 555/847 is 264180.