Least Common Multiple of 96/95, 323/53, 858/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 96/95, 323/53, 858/778 quickly i.e. 4434144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/95, 323/53, 858/778 is 4434144.

LCM(96/95, 323/53, 858/778) = 4434144

LCM of 96/95, 323/53, 858/778

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 96/95,323/53,858/778

Given numbers are 96/95,323/53,858/778

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 96,323,858

Least Common Multiple of Numerators i.e. LCM of 96,323,858 is 4434144.

GCF of Denominators means GCF of 95,53,778 as per the given fractions.

GCF of 95,53,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,323,858

LCM of Fractions 96/95,323/53,858/778 is 4434144

2 96, 323, 858
3 48, 323, 429
16, 323, 143

∴ So the LCM of the given numbers is 2 x 3 x 16 x 323 x 143 = 4434144

Least Common Multiple of 96,323,858 with GCF Formula

Least Common Multiple of 96,323,858 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 96,323,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,323,858) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,323,858) x common factors =1 x 6 = 6

LCM(96,323,858) = ( 96 × 323 × 858 ) / 6

LCM(96,323,858) = 26604864 / 6

LCM(96,323,858) = 4434144


Lets's calculate GCF of 95,53,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4434144/1

Therefore the LCM of Fractions 96/95,323/53,858/778 is 4434144

Greatest Common Factor of 95,53,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,53,778 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 95,53,778 . The biggest common factor number is the GCF number.
So the greatest common factor 95,53,778 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 96/95, 323/53, 858/778

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 96/95, 323/53, 858/778?

Answer: LCM of Numerators as per given numbers 96/95, 323/53, 858/778 is

LCM of Numerators i.e. for 96,323,858 is 4434144

GCF of denominators i.e. for 95,53,778 is 1.

Thus, LCM of Fractions is 4434144.Finally, LCM of Fractions for 96/95, 323/53, 858/778 is 4434144.