Least Common Multiple of 95/36, 228/16, 496/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/36, 228/16, 496/955 quickly i.e. 141360 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, 228/16, 496/955 is 141360.

LCM(95/36, 228/16, 496/955) = 141360

LCM of 95/36, 228/16, 496/955

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 95/36,228/16,496/955

Given numbers are 95/36,228/16,496/955

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 95,228,496

Least Common Multiple of Numerators i.e. LCM of 95,228,496 is 141360.

GCF of Denominators means GCF of 36,16,955 as per the given fractions.

GCF of 36,16,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,228,496

LCM of Fractions 95/36,228/16,496/955 is 141360

2 95, 228, 496
2 95, 114, 248
19 95, 57, 124
5, 3, 124

∴ So the LCM of the given numbers is 2 x 2 x 19 x 5 x 3 x 124 = 141360

Least Common Multiple of 95,228,496 with GCF Formula

Least Common Multiple of 95,228,496 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 95,228,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,228,496) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(95,228,496) x common factors =1 x 76 = 76

LCM(95,228,496) = ( 95 × 228 × 496 ) / 76

LCM(95,228,496) = 10743360 / 76

LCM(95,228,496) = 141360


Lets's calculate GCF of 36,16,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141360/1

Therefore the LCM of Fractions 95/36,228/16,496/955 is 141360

Greatest Common Factor of 36,16,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,16,955 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 36,16,955 . The biggest common factor number is the GCF number.
So the greatest common factor 36,16,955 is 1.


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, 228/16, 496/955

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, 228/16, 496/955?

Answer: LCM of Numerators as per given numbers 95/36, 228/16, 496/955 is

LCM of Numerators i.e. for 95,228,496 is 141360

GCF of denominators i.e. for 36,16,955 is 1.

Thus, LCM of Fractions is 141360.Finally, LCM of Fractions for 95/36, 228/16, 496/955 is 141360.