Least Common Multiple of 56/940, 963/480, 866/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/940, 963/480, 866/852 quickly i.e. 5837706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/940, 963/480, 866/852 is 5837706.

LCM(56/940, 963/480, 866/852) = 5837706

LCM of 56/940, 963/480, 866/852

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 56/940,963/480,866/852

Given numbers are 56/940,963/480,866/852

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 56,963,866

Least Common Multiple of Numerators i.e. LCM of 56,963,866 is 23350824.

GCF of Denominators means GCF of 940,480,852 as per the given fractions.

GCF of 940,480,852 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,963,866

LCM of Fractions 56/940,963/480,866/852 is 5837706

2 56, 963, 866
28, 963, 433

∴ So the LCM of the given numbers is 2 x 28 x 963 x 433 = 23350824

Least Common Multiple of 56,963,866 with GCF Formula

Least Common Multiple of 56,963,866 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 56,963,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,963,866) = 1

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

GCF(56,963,866) x common factors =1 x 2 = 2

LCM(56,963,866) = ( 56 × 963 × 866 ) / 2

LCM(56,963,866) = 46701648 / 2

LCM(56,963,866) = 23350824


Lets's calculate GCF of 940,480,852

2 940, 480, 852
2 470, 240, 426
235, 120, 213

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23350824/4

Therefore the LCM of Fractions 56/940,963/480,866/852 is 5837706

Greatest Common Factor of 940,480,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 940,480,852 By Matching Biggest Common Factor Method

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 940,480,852 . The biggest common factor number is the GCF number.
So the greatest common factor 940,480,852 is 4.


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 56/940, 963/480, 866/852

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 56/940, 963/480, 866/852?

Answer: LCM of Numerators as per given numbers 56/940, 963/480, 866/852 is

LCM of Numerators i.e. for 56,963,866 is 23350824

GCF of denominators i.e. for 940,480,852 is 4.

Thus, LCM of Fractions is 5837706.Finally, LCM of Fractions for 56/940, 963/480, 866/852 is 5837706.