Least Common Multiple of 679/10, 886/25, 784/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/10, 886/25, 784/868 quickly i.e. 33689264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/10, 886/25, 784/868 is 33689264.

LCM(679/10, 886/25, 784/868) = 33689264

LCM of 679/10, 886/25, 784/868

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 679/10,886/25,784/868

Given numbers are 679/10,886/25,784/868

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 679,886,784

Least Common Multiple of Numerators i.e. LCM of 679,886,784 is 33689264.

GCF of Denominators means GCF of 10,25,868 as per the given fractions.

GCF of 10,25,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,886,784

LCM of Fractions 679/10,886/25,784/868 is 33689264

2 679, 886, 784
7 679, 443, 392
97, 443, 56

∴ So the LCM of the given numbers is 2 x 7 x 97 x 443 x 56 = 33689264

Least Common Multiple of 679,886,784 with GCF Formula

Least Common Multiple of 679,886,784 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 679,886,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,886,784) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(679,886,784) x common factors =1 x 14 = 14

LCM(679,886,784) = ( 679 × 886 × 784 ) / 14

LCM(679,886,784) = 471649696 / 14

LCM(679,886,784) = 33689264


Lets's calculate GCF of 10,25,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33689264/1

Therefore the LCM of Fractions 679/10,886/25,784/868 is 33689264

Greatest Common Factor of 10,25,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,25,868 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 10,25,868 . The biggest common factor number is the GCF number.
So the greatest common factor 10,25,868 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 679/10, 886/25, 784/868

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 679/10, 886/25, 784/868?

Answer: LCM of Numerators as per given numbers 679/10, 886/25, 784/868 is

LCM of Numerators i.e. for 679,886,784 is 33689264

GCF of denominators i.e. for 10,25,868 is 1.

Thus, LCM of Fractions is 33689264.Finally, LCM of Fractions for 679/10, 886/25, 784/868 is 33689264.