Least Common Multiple of 95/36, 96/380, 925/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/36, 96/380, 925/690 quickly i.e. 843600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/36, 96/380, 925/690 is 843600.

LCM(95/36, 96/380, 925/690) = 843600

LCM of 95/36, 96/380, 925/690

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 95/36,96/380,925/690

Given numbers are 95/36,96/380,925/690

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 95,96,925

Least Common Multiple of Numerators i.e. LCM of 95,96,925 is 1687200.

GCF of Denominators means GCF of 36,380,690 as per the given fractions.

GCF of 36,380,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,96,925

LCM of Fractions 95/36,96/380,925/690 is 843600

5 95, 96, 925
19, 96, 185

∴ So the LCM of the given numbers is 5 x 19 x 96 x 185 = 1687200

Least Common Multiple of 95,96,925 with GCF Formula

Least Common Multiple of 95,96,925 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 95,96,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,96,925) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(95,96,925) x common factors =1 x 5 = 5

LCM(95,96,925) = ( 95 × 96 × 925 ) / 5

LCM(95,96,925) = 8436000 / 5

LCM(95,96,925) = 1687200


Lets's calculate GCF of 36,380,690

2 36, 380, 690
18, 190, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1687200/2

Therefore the LCM of Fractions 95/36,96/380,925/690 is 843600

Greatest Common Factor of 36,380,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,380,690 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 36,380,690 . The biggest common factor number is the GCF number.
So the greatest common factor 36,380,690 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 95/36, 96/380, 925/690

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 95/36, 96/380, 925/690?

Answer: LCM of Numerators as per given numbers 95/36, 96/380, 925/690 is

LCM of Numerators i.e. for 95,96,925 is 1687200

GCF of denominators i.e. for 36,380,690 is 2.

Thus, LCM of Fractions is 843600.Finally, LCM of Fractions for 95/36, 96/380, 925/690 is 843600.