Least Common Multiple of 10/87, 326/80, 688/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/87, 326/80, 688/848 quickly i.e. 560720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/87, 326/80, 688/848 is 560720.

LCM(10/87, 326/80, 688/848) = 560720

LCM of 10/87, 326/80, 688/848

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 10/87,326/80,688/848

Given numbers are 10/87,326/80,688/848

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 10,326,688

Least Common Multiple of Numerators i.e. LCM of 10,326,688 is 560720.

GCF of Denominators means GCF of 87,80,848 as per the given fractions.

GCF of 87,80,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,326,688

LCM of Fractions 10/87,326/80,688/848 is 560720

2 10, 326, 688
5, 163, 344

∴ So the LCM of the given numbers is 2 x 5 x 163 x 344 = 560720

Least Common Multiple of 10,326,688 with GCF Formula

Least Common Multiple of 10,326,688 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 10,326,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,326,688) = 2

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

GCF(10,326,688) x common factors =2 x 2 = 4

LCM(10,326,688) = ( 10 × 326 × 688 ) / 4

LCM(10,326,688) = 2242880 / 4

LCM(10,326,688) = 560720


Lets's calculate GCF of 87,80,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560720/1

Therefore the LCM of Fractions 10/87,326/80,688/848 is 560720

Greatest Common Factor of 87,80,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,80,848 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 87,80,848 . The biggest common factor number is the GCF number.
So the greatest common factor 87,80,848 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/87, 326/80, 688/848

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 10/87, 326/80, 688/848?

Answer: LCM of Numerators as per given numbers 10/87, 326/80, 688/848 is

LCM of Numerators i.e. for 10,326,688 is 560720

GCF of denominators i.e. for 87,80,848 is 1.

Thus, LCM of Fractions is 560720.Finally, LCM of Fractions for 10/87, 326/80, 688/848 is 560720.