Least Common Multiple of 695/96, 144/7133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/96, 144/7133 quickly i.e. 100080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/96, 144/7133 is 100080.

LCM(695/96, 144/7133) = 100080

LCM of 695/96, 144/7133

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 695/96,144/7133

Given numbers are 695/96,144/7133

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 695,144

Least Common Multiple of Numerators i.e. LCM of 695,144 is 100080.

GCF of Denominators means GCF of 96,7133 as per the given fractions.

GCF of 96,7133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,144

LCM of Fractions 695/96,144/7133 is 100080

Given numbers has no common factors except 1. So, there LCM is their product i.e 100080

Least Common Multiple of 695,144 with GCF Formula

Least Common Multiple of 695,144 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 695,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,144) = 1

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

GCF(695,144) x common factors =1 x 1 = 1

LCM(695,144) = ( 695 × 144 ) / 1

LCM(695,144) = 100080 / 1

LCM(695,144) = 100080


Lets's calculate GCF of 96,7133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100080/1

Therefore the LCM of Fractions 695/96,144/7133 is 100080

Greatest Common Factor of 96,7133 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7133 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7133

List of positive integer factors of 7133 that divides 7133 without a remainder.

1,7,1019,7133

Greatest Common Factor

We found the factors 96,7133 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7133 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 695/96, 144/7133

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 695/96, 144/7133?

Answer: LCM of Numerators as per given numbers 695/96, 144/7133 is

LCM of Numerators i.e. for 695,144 is 100080

GCF of denominators i.e. for 96,7133 is 1.

Thus, LCM of Fractions is 100080.Finally, LCM of Fractions for 695/96, 144/7133 is 100080.