Least Common Multiple of 119/331, 374/151, 567/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/331, 374/151, 567/553 quickly i.e. 212058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/331, 374/151, 567/553 is 212058.

LCM(119/331, 374/151, 567/553) = 212058

LCM of 119/331, 374/151, 567/553

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 119/331,374/151,567/553

Given numbers are 119/331,374/151,567/553

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 119,374,567

Least Common Multiple of Numerators i.e. LCM of 119,374,567 is 212058.

GCF of Denominators means GCF of 331,151,553 as per the given fractions.

GCF of 331,151,553 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,374,567

LCM of Fractions 119/331,374/151,567/553 is 212058

7 119, 374, 567
17 17, 374, 81
1, 22, 81

∴ So the LCM of the given numbers is 7 x 17 x 1 x 22 x 81 = 212058

Least Common Multiple of 119,374,567 with GCF Formula

Least Common Multiple of 119,374,567 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 119,374,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,374,567) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(119,374,567) x common factors =1 x 119 = 119

LCM(119,374,567) = ( 119 × 374 × 567 ) / 119

LCM(119,374,567) = 25234902 / 119

LCM(119,374,567) = 212058


Lets's calculate GCF of 331,151,553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212058/1

Therefore the LCM of Fractions 119/331,374/151,567/553 is 212058

Greatest Common Factor of 331,151,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,151,553 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 331,151,553 . The biggest common factor number is the GCF number.
So the greatest common factor 331,151,553 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 119/331, 374/151, 567/553

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 119/331, 374/151, 567/553?

Answer: LCM of Numerators as per given numbers 119/331, 374/151, 567/553 is

LCM of Numerators i.e. for 119,374,567 is 212058

GCF of denominators i.e. for 331,151,553 is 1.

Thus, LCM of Fractions is 212058.Finally, LCM of Fractions for 119/331, 374/151, 567/553 is 212058.