Least Common Multiple of 617/700, 9310/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 617/700, 9310/878 quickly i.e. 2872135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 617/700, 9310/878 is 2872135.

LCM(617/700, 9310/878) = 2872135

LCM of 617/700, 9310/878

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 617/700,9310/878

Given numbers are 617/700,9310/878

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 617,9310

Least Common Multiple of Numerators i.e. LCM of 617,9310 is 5744270.

GCF of Denominators means GCF of 700,878 as per the given fractions.

GCF of 700,878 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 617,9310

LCM of Fractions 617/700,9310/878 is 2872135

Given numbers has no common factors except 1. So, there LCM is their product i.e 5744270

Least Common Multiple of 617,9310 with GCF Formula

Least Common Multiple of 617,9310 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 617,9310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,9310) = 1

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

GCF(617,9310) x common factors =1 x 1 = 1

LCM(617,9310) = ( 617 × 9310 ) / 1

LCM(617,9310) = 5744270 / 1

LCM(617,9310) = 5744270


Lets's calculate GCF of 700,878

2 700, 878
350, 439

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5744270/2

Therefore the LCM of Fractions 617/700,9310/878 is 2872135

Greatest Common Factor of 700,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,878 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 700,878 . The biggest common factor number is the GCF number.
So the greatest common factor 700,878 is 2.


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 617/700, 9310/878

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 617/700, 9310/878?

Answer: LCM of Numerators as per given numbers 617/700, 9310/878 is

LCM of Numerators i.e. for 617,9310 is 5744270

GCF of denominators i.e. for 700,878 is 2.

Thus, LCM of Fractions is 2872135.Finally, LCM of Fractions for 617/700, 9310/878 is 2872135.