Least Common Multiple of 7149/785, 4555/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7149/785, 4555/755 quickly i.e. 6512739 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7149/785, 4555/755 is 6512739.

LCM(7149/785, 4555/755) = 6512739

LCM of 7149/785, 4555/755

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 7149/785,4555/755

Given numbers are 7149/785,4555/755

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 7149,4555

Least Common Multiple of Numerators i.e. LCM of 7149,4555 is 32563695.

GCF of Denominators means GCF of 785,755 as per the given fractions.

GCF of 785,755 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7149,4555

LCM of Fractions 7149/785,4555/755 is 6512739

Given numbers has no common factors except 1. So, there LCM is their product i.e 32563695

Least Common Multiple of 7149,4555 with GCF Formula

Least Common Multiple of 7149,4555 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 7149,4555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7149,4555) = 1

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

GCF(7149,4555) x common factors =1 x 1 = 1

LCM(7149,4555) = ( 7149 × 4555 ) / 1

LCM(7149,4555) = 32563695 / 1

LCM(7149,4555) = 32563695


Lets's calculate GCF of 785,755

5 785, 755
157, 151

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32563695/5

Therefore the LCM of Fractions 7149/785,4555/755 is 6512739

Greatest Common Factor of 785,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,755 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 785,755 . The biggest common factor number is the GCF number.
So the greatest common factor 785,755 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 7149/785, 4555/755

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 7149/785, 4555/755?

Answer: LCM of Numerators as per given numbers 7149/785, 4555/755 is

LCM of Numerators i.e. for 7149,4555 is 32563695

GCF of denominators i.e. for 785,755 is 5.

Thus, LCM of Fractions is 6512739.Finally, LCM of Fractions for 7149/785, 4555/755 is 6512739.