Least Common Multiple of 570/97, 677/41, 678/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/97, 677/41, 678/907 quickly i.e. 43605570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/97, 677/41, 678/907 is 43605570.

LCM(570/97, 677/41, 678/907) = 43605570

LCM of 570/97, 677/41, 678/907

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 570/97,677/41,678/907

Given numbers are 570/97,677/41,678/907

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 570,677,678

Least Common Multiple of Numerators i.e. LCM of 570,677,678 is 43605570.

GCF of Denominators means GCF of 97,41,907 as per the given fractions.

GCF of 97,41,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,677,678

LCM of Fractions 570/97,677/41,678/907 is 43605570

2 570, 677, 678
3 285, 677, 339
95, 677, 113

∴ So the LCM of the given numbers is 2 x 3 x 95 x 677 x 113 = 43605570

Least Common Multiple of 570,677,678 with GCF Formula

Least Common Multiple of 570,677,678 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 570,677,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,677,678) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(570,677,678) x common factors =1 x 6 = 6

LCM(570,677,678) = ( 570 × 677 × 678 ) / 6

LCM(570,677,678) = 261633420 / 6

LCM(570,677,678) = 43605570


Lets's calculate GCF of 97,41,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43605570/1

Therefore the LCM of Fractions 570/97,677/41,678/907 is 43605570

Greatest Common Factor of 97,41,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,41,907 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 97,41,907 . The biggest common factor number is the GCF number.
So the greatest common factor 97,41,907 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 570/97, 677/41, 678/907

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 570/97, 677/41, 678/907?

Answer: LCM of Numerators as per given numbers 570/97, 677/41, 678/907 is

LCM of Numerators i.e. for 570,677,678 is 43605570

GCF of denominators i.e. for 97,41,907 is 1.

Thus, LCM of Fractions is 43605570.Finally, LCM of Fractions for 570/97, 677/41, 678/907 is 43605570.