Least Common Multiple of 64/764, 52/893, 989/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/764, 52/893, 989/780 quickly i.e. 822848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/764, 52/893, 989/780 is 822848.

LCM(64/764, 52/893, 989/780) = 822848

LCM of 64/764, 52/893, 989/780

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 64/764,52/893,989/780

Given numbers are 64/764,52/893,989/780

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 64,52,989

Least Common Multiple of Numerators i.e. LCM of 64,52,989 is 822848.

GCF of Denominators means GCF of 764,893,780 as per the given fractions.

GCF of 764,893,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,52,989

LCM of Fractions 64/764,52/893,989/780 is 822848

2 64, 52, 989
2 32, 26, 989
16, 13, 989

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 989 = 822848

Least Common Multiple of 64,52,989 with GCF Formula

Least Common Multiple of 64,52,989 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 64,52,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,989) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,989) x common factors =1 x 4 = 4

LCM(64,52,989) = ( 64 × 52 × 989 ) / 4

LCM(64,52,989) = 3291392 / 4

LCM(64,52,989) = 822848


Lets's calculate GCF of 764,893,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822848/1

Therefore the LCM of Fractions 64/764,52/893,989/780 is 822848

Greatest Common Factor of 764,893,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,893,780 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 764,893,780 . The biggest common factor number is the GCF number.
So the greatest common factor 764,893,780 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 64/764, 52/893, 989/780

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 64/764, 52/893, 989/780?

Answer: LCM of Numerators as per given numbers 64/764, 52/893, 989/780 is

LCM of Numerators i.e. for 64,52,989 is 822848

GCF of denominators i.e. for 764,893,780 is 1.

Thus, LCM of Fractions is 822848.Finally, LCM of Fractions for 64/764, 52/893, 989/780 is 822848.