Least Common Multiple of 95/96, 428/28, 800/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/96, 428/28, 800/411 quickly i.e. 1626400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/96, 428/28, 800/411 is 1626400.

LCM(95/96, 428/28, 800/411) = 1626400

LCM of 95/96, 428/28, 800/411

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 95/96,428/28,800/411

Given numbers are 95/96,428/28,800/411

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 95,428,800

Least Common Multiple of Numerators i.e. LCM of 95,428,800 is 1626400.

GCF of Denominators means GCF of 96,28,411 as per the given fractions.

GCF of 96,28,411 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,428,800

LCM of Fractions 95/96,428/28,800/411 is 1626400

2 95, 428, 800
2 95, 214, 400
5 95, 107, 200
19, 107, 40

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 107 x 40 = 1626400

Least Common Multiple of 95,428,800 with GCF Formula

Least Common Multiple of 95,428,800 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 95,428,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,428,800) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(95,428,800) x common factors =1 x 20 = 20

LCM(95,428,800) = ( 95 × 428 × 800 ) / 20

LCM(95,428,800) = 32528000 / 20

LCM(95,428,800) = 1626400


Lets's calculate GCF of 96,28,411

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1626400/1

Therefore the LCM of Fractions 95/96,428/28,800/411 is 1626400

Greatest Common Factor of 96,28,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,28,411 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 96,28,411 . The biggest common factor number is the GCF number.
So the greatest common factor 96,28,411 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 95/96, 428/28, 800/411

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 95/96, 428/28, 800/411?

Answer: LCM of Numerators as per given numbers 95/96, 428/28, 800/411 is

LCM of Numerators i.e. for 95,428,800 is 1626400

GCF of denominators i.e. for 96,28,411 is 1.

Thus, LCM of Fractions is 1626400.Finally, LCM of Fractions for 95/96, 428/28, 800/411 is 1626400.