Least Common Multiple of 763/68, 887/22, 766/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/68, 887/22, 766/240 quickly i.e. 259207123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/68, 887/22, 766/240 is 259207123.

LCM(763/68, 887/22, 766/240) = 259207123

LCM of 763/68, 887/22, 766/240

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 763/68,887/22,766/240

Given numbers are 763/68,887/22,766/240

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 763,887,766

Least Common Multiple of Numerators i.e. LCM of 763,887,766 is 518414246.

GCF of Denominators means GCF of 68,22,240 as per the given fractions.

GCF of 68,22,240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,887,766

LCM of Fractions 763/68,887/22,766/240 is 259207123

Given numbers has no common factors except 1. So, there LCM is their product i.e 518414246

Least Common Multiple of 763,887,766 with GCF Formula

Least Common Multiple of 763,887,766 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 763,887,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,887,766) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(763,887,766) x common factors =1 x 1 = 1

LCM(763,887,766) = ( 763 × 887 × 766 ) / 1

LCM(763,887,766) = 518414246 / 1

LCM(763,887,766) = 518414246


Lets's calculate GCF of 68,22,240

2 68, 22, 240
34, 11, 120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518414246/2

Therefore the LCM of Fractions 763/68,887/22,766/240 is 259207123

Greatest Common Factor of 68,22,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,22,240 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

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

Greatest Common Factor

We found the factors 68,22,240 . The biggest common factor number is the GCF number.
So the greatest common factor 68,22,240 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 763/68, 887/22, 766/240

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 763/68, 887/22, 766/240?

Answer: LCM of Numerators as per given numbers 763/68, 887/22, 766/240 is

LCM of Numerators i.e. for 763,887,766 is 518414246

GCF of denominators i.e. for 68,22,240 is 2.

Thus, LCM of Fractions is 259207123.Finally, LCM of Fractions for 763/68, 887/22, 766/240 is 259207123.