Least Common Multiple of 377/67, 742/72, 656/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/67, 742/72, 656/529 quickly i.e. 91752752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/67, 742/72, 656/529 is 91752752.

LCM(377/67, 742/72, 656/529) = 91752752

LCM of 377/67, 742/72, 656/529

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 377/67,742/72,656/529

Given numbers are 377/67,742/72,656/529

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 377,742,656

Least Common Multiple of Numerators i.e. LCM of 377,742,656 is 91752752.

GCF of Denominators means GCF of 67,72,529 as per the given fractions.

GCF of 67,72,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,742,656

LCM of Fractions 377/67,742/72,656/529 is 91752752

2 377, 742, 656
377, 371, 328

∴ So the LCM of the given numbers is 2 x 377 x 371 x 328 = 91752752

Least Common Multiple of 377,742,656 with GCF Formula

Least Common Multiple of 377,742,656 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 377,742,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,742,656) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(377,742,656) x common factors =1 x 2 = 2

LCM(377,742,656) = ( 377 × 742 × 656 ) / 2

LCM(377,742,656) = 183505504 / 2

LCM(377,742,656) = 91752752


Lets's calculate GCF of 67,72,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91752752/1

Therefore the LCM of Fractions 377/67,742/72,656/529 is 91752752

Greatest Common Factor of 67,72,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,72,529 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 67,72,529 . The biggest common factor number is the GCF number.
So the greatest common factor 67,72,529 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 377/67, 742/72, 656/529

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 377/67, 742/72, 656/529?

Answer: LCM of Numerators as per given numbers 377/67, 742/72, 656/529 is

LCM of Numerators i.e. for 377,742,656 is 91752752

GCF of denominators i.e. for 67,72,529 is 1.

Thus, LCM of Fractions is 91752752.Finally, LCM of Fractions for 377/67, 742/72, 656/529 is 91752752.