Least Common Multiple of 763/56, 162/52, 662/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/56, 162/52, 662/278 quickly i.e. 20456793 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/56, 162/52, 662/278 is 20456793.

LCM(763/56, 162/52, 662/278) = 20456793

LCM of 763/56, 162/52, 662/278

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 763/56,162/52,662/278

Given numbers are 763/56,162/52,662/278

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 763,162,662

Least Common Multiple of Numerators i.e. LCM of 763,162,662 is 40913586.

GCF of Denominators means GCF of 56,52,278 as per the given fractions.

GCF of 56,52,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,162,662

LCM of Fractions 763/56,162/52,662/278 is 20456793

2 763, 162, 662
763, 81, 331

∴ So the LCM of the given numbers is 2 x 763 x 81 x 331 = 40913586

Least Common Multiple of 763,162,662 with GCF Formula

Least Common Multiple of 763,162,662 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 763,162,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,162,662) = 1

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

GCF(763,162,662) x common factors =1 x 2 = 2

LCM(763,162,662) = ( 763 × 162 × 662 ) / 2

LCM(763,162,662) = 81827172 / 2

LCM(763,162,662) = 40913586


Lets's calculate GCF of 56,52,278

2 56, 52, 278
28, 26, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40913586/2

Therefore the LCM of Fractions 763/56,162/52,662/278 is 20456793

Greatest Common Factor of 56,52,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,52,278 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 56,52,278 . The biggest common factor number is the GCF number.
So the greatest common factor 56,52,278 is 2.


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 763/56, 162/52, 662/278

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 763/56, 162/52, 662/278?

Answer: LCM of Numerators as per given numbers 763/56, 162/52, 662/278 is

LCM of Numerators i.e. for 763,162,662 is 40913586

GCF of denominators i.e. for 56,52,278 is 2.

Thus, LCM of Fractions is 20456793.Finally, LCM of Fractions for 763/56, 162/52, 662/278 is 20456793.