Least Common Multiple of 25/978, 314/836, 864/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/978, 314/836, 864/853 quickly i.e. 3391200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/978, 314/836, 864/853 is 3391200.

LCM(25/978, 314/836, 864/853) = 3391200

LCM of 25/978, 314/836, 864/853

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 25/978,314/836,864/853

Given numbers are 25/978,314/836,864/853

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 25,314,864

Least Common Multiple of Numerators i.e. LCM of 25,314,864 is 3391200.

GCF of Denominators means GCF of 978,836,853 as per the given fractions.

GCF of 978,836,853 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,314,864

LCM of Fractions 25/978,314/836,864/853 is 3391200

2 25, 314, 864
25, 157, 432

∴ So the LCM of the given numbers is 2 x 25 x 157 x 432 = 3391200

Least Common Multiple of 25,314,864 with GCF Formula

Least Common Multiple of 25,314,864 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 25,314,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,314,864) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,314,864) x common factors =1 x 2 = 2

LCM(25,314,864) = ( 25 × 314 × 864 ) / 2

LCM(25,314,864) = 6782400 / 2

LCM(25,314,864) = 3391200


Lets's calculate GCF of 978,836,853

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3391200/1

Therefore the LCM of Fractions 25/978,314/836,864/853 is 3391200

Greatest Common Factor of 978,836,853 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,836,853 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Greatest Common Factor

We found the factors 978,836,853 . The biggest common factor number is the GCF number.
So the greatest common factor 978,836,853 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 25/978, 314/836, 864/853

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 25/978, 314/836, 864/853?

Answer: LCM of Numerators as per given numbers 25/978, 314/836, 864/853 is

LCM of Numerators i.e. for 25,314,864 is 3391200

GCF of denominators i.e. for 978,836,853 is 1.

Thus, LCM of Fractions is 3391200.Finally, LCM of Fractions for 25/978, 314/836, 864/853 is 3391200.