Least Common Multiple of 78/425, 440/969, 731/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/425, 440/969, 731/545 quickly i.e. 12543960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/425, 440/969, 731/545 is 12543960.

LCM(78/425, 440/969, 731/545) = 12543960

LCM of 78/425, 440/969, 731/545

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 78/425,440/969,731/545

Given numbers are 78/425,440/969,731/545

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 78,440,731

Least Common Multiple of Numerators i.e. LCM of 78,440,731 is 12543960.

GCF of Denominators means GCF of 425,969,545 as per the given fractions.

GCF of 425,969,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,440,731

LCM of Fractions 78/425,440/969,731/545 is 12543960

2 78, 440, 731
39, 220, 731

∴ So the LCM of the given numbers is 2 x 39 x 220 x 731 = 12543960

Least Common Multiple of 78,440,731 with GCF Formula

Least Common Multiple of 78,440,731 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 78,440,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,440,731) = 1

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

GCF(78,440,731) x common factors =1 x 2 = 2

LCM(78,440,731) = ( 78 × 440 × 731 ) / 2

LCM(78,440,731) = 25087920 / 2

LCM(78,440,731) = 12543960


Lets's calculate GCF of 425,969,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12543960/1

Therefore the LCM of Fractions 78/425,440/969,731/545 is 12543960

Greatest Common Factor of 425,969,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,969,545 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 425,969,545 . The biggest common factor number is the GCF number.
So the greatest common factor 425,969,545 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 78/425, 440/969, 731/545

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 78/425, 440/969, 731/545?

Answer: LCM of Numerators as per given numbers 78/425, 440/969, 731/545 is

LCM of Numerators i.e. for 78,440,731 is 12543960

GCF of denominators i.e. for 425,969,545 is 1.

Thus, LCM of Fractions is 12543960.Finally, LCM of Fractions for 78/425, 440/969, 731/545 is 12543960.