Least Common Multiple of 5678/735, 7745/1070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5678/735, 7745/1070 quickly i.e. 8795222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5678/735, 7745/1070 is 8795222.

LCM(5678/735, 7745/1070) = 8795222

LCM of 5678/735, 7745/1070

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 5678/735,7745/1070

Given numbers are 5678/735,7745/1070

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 5678,7745

Least Common Multiple of Numerators i.e. LCM of 5678,7745 is 43976110.

GCF of Denominators means GCF of 735,1070 as per the given fractions.

GCF of 735,1070 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5678,7745

LCM of Fractions 5678/735,7745/1070 is 8795222

Given numbers has no common factors except 1. So, there LCM is their product i.e 43976110

Least Common Multiple of 5678,7745 with GCF Formula

Least Common Multiple of 5678,7745 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 5678,7745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5678,7745) = 1

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

GCF(5678,7745) x common factors =1 x 1 = 1

LCM(5678,7745) = ( 5678 × 7745 ) / 1

LCM(5678,7745) = 43976110 / 1

LCM(5678,7745) = 43976110


Lets's calculate GCF of 735,1070

5 735, 1070
147, 214

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43976110/5

Therefore the LCM of Fractions 5678/735,7745/1070 is 8795222

Greatest Common Factor of 735,1070 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,1070 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 1070

List of positive integer factors of 1070 that divides 1070 without a remainder.

1,2,5,10,107,214,535,1070

Greatest Common Factor

We found the factors 735,1070 . The biggest common factor number is the GCF number.
So the greatest common factor 735,1070 is 5.


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 5678/735, 7745/1070

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 5678/735, 7745/1070?

Answer: LCM of Numerators as per given numbers 5678/735, 7745/1070 is

LCM of Numerators i.e. for 5678,7745 is 43976110

GCF of denominators i.e. for 735,1070 is 5.

Thus, LCM of Fractions is 8795222.Finally, LCM of Fractions for 5678/735, 7745/1070 is 8795222.