Least Common Multiple of 5353/695, 7122/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5353/695, 7122/515 quickly i.e. 38124066/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5353/695, 7122/515 is 38124066/5.

LCM(5353/695, 7122/515) = 38124066/5

LCM of 5353/695, 7122/515

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 5353/695,7122/515

Given numbers are 5353/695,7122/515

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 5353,7122

Least Common Multiple of Numerators i.e. LCM of 5353,7122 is 38124066.

GCF of Denominators means GCF of 695,515 as per the given fractions.

GCF of 695,515 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5353,7122

LCM of Fractions 5353/695,7122/515 is 38124066/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 38124066

Least Common Multiple of 5353,7122 with GCF Formula

Least Common Multiple of 5353,7122 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 5353,7122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5353,7122) = 1

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

GCF(5353,7122) x common factors =1 x 1 = 1

LCM(5353,7122) = ( 5353 × 7122 ) / 1

LCM(5353,7122) = 38124066 / 1

LCM(5353,7122) = 38124066


Lets's calculate GCF of 695,515

5 695, 515
139, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38124066/5

Therefore the LCM of Fractions 5353/695,7122/515 is 38124066/5

Greatest Common Factor of 695,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,515 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 695,515 . The biggest common factor number is the GCF number.
So the greatest common factor 695,515 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 5353/695, 7122/515

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 5353/695, 7122/515?

Answer: LCM of Numerators as per given numbers 5353/695, 7122/515 is

LCM of Numerators i.e. for 5353,7122 is 38124066

GCF of denominators i.e. for 695,515 is 5.

Thus, LCM of Fractions is 38124066/5.Finally, LCM of Fractions for 5353/695, 7122/515 is 38124066/5.