Least Common Multiple of 56/740, 793/686, 101/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/740, 793/686, 101/609 quickly i.e. 4485208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/740, 793/686, 101/609 is 4485208.

LCM(56/740, 793/686, 101/609) = 4485208

LCM of 56/740, 793/686, 101/609

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 56/740,793/686,101/609

Given numbers are 56/740,793/686,101/609

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 56,793,101

Least Common Multiple of Numerators i.e. LCM of 56,793,101 is 4485208.

GCF of Denominators means GCF of 740,686,609 as per the given fractions.

GCF of 740,686,609 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,793,101

LCM of Fractions 56/740,793/686,101/609 is 4485208

Given numbers has no common factors except 1. So, there LCM is their product i.e 4485208

Least Common Multiple of 56,793,101 with GCF Formula

Least Common Multiple of 56,793,101 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 56,793,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,793,101) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(56,793,101) x common factors =1 x 1 = 1

LCM(56,793,101) = ( 56 × 793 × 101 ) / 1

LCM(56,793,101) = 4485208 / 1

LCM(56,793,101) = 4485208


Lets's calculate GCF of 740,686,609

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4485208/1

Therefore the LCM of Fractions 56/740,793/686,101/609 is 4485208

Greatest Common Factor of 740,686,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,686,609 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 740,686,609 . The biggest common factor number is the GCF number.
So the greatest common factor 740,686,609 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 56/740, 793/686, 101/609

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 56/740, 793/686, 101/609?

Answer: LCM of Numerators as per given numbers 56/740, 793/686, 101/609 is

LCM of Numerators i.e. for 56,793,101 is 4485208

GCF of denominators i.e. for 740,686,609 is 1.

Thus, LCM of Fractions is 4485208.Finally, LCM of Fractions for 56/740, 793/686, 101/609 is 4485208.