Least Common Multiple of 78/97, 97/628, 760/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/97, 97/628, 760/438 quickly i.e. 2875080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/97, 97/628, 760/438 is 2875080.

LCM(78/97, 97/628, 760/438) = 2875080

LCM of 78/97, 97/628, 760/438

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 78/97,97/628,760/438

Given numbers are 78/97,97/628,760/438

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 78,97,760

Least Common Multiple of Numerators i.e. LCM of 78,97,760 is 2875080.

GCF of Denominators means GCF of 97,628,438 as per the given fractions.

GCF of 97,628,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,97,760

LCM of Fractions 78/97,97/628,760/438 is 2875080

2 78, 97, 760
39, 97, 380

∴ So the LCM of the given numbers is 2 x 39 x 97 x 380 = 2875080

Least Common Multiple of 78,97,760 with GCF Formula

Least Common Multiple of 78,97,760 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 78,97,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,97,760) = 1

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

GCF(78,97,760) x common factors =1 x 2 = 2

LCM(78,97,760) = ( 78 × 97 × 760 ) / 2

LCM(78,97,760) = 5750160 / 2

LCM(78,97,760) = 2875080


Lets's calculate GCF of 97,628,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2875080/1

Therefore the LCM of Fractions 78/97,97/628,760/438 is 2875080

Greatest Common Factor of 97,628,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,628,438 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 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 97,628,438 . The biggest common factor number is the GCF number.
So the greatest common factor 97,628,438 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 78/97, 97/628, 760/438

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 78/97, 97/628, 760/438?

Answer: LCM of Numerators as per given numbers 78/97, 97/628, 760/438 is

LCM of Numerators i.e. for 78,97,760 is 2875080

GCF of denominators i.e. for 97,628,438 is 1.

Thus, LCM of Fractions is 2875080.Finally, LCM of Fractions for 78/97, 97/628, 760/438 is 2875080.