Least Common Multiple of 64/51, 42/53, 971/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/51, 42/53, 971/582 quickly i.e. 1305024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/51, 42/53, 971/582 is 1305024.

LCM(64/51, 42/53, 971/582) = 1305024

LCM of 64/51, 42/53, 971/582

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 64/51,42/53,971/582

Given numbers are 64/51,42/53,971/582

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 64,42,971

Least Common Multiple of Numerators i.e. LCM of 64,42,971 is 1305024.

GCF of Denominators means GCF of 51,53,582 as per the given fractions.

GCF of 51,53,582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,42,971

LCM of Fractions 64/51,42/53,971/582 is 1305024

2 64, 42, 971
32, 21, 971

∴ So the LCM of the given numbers is 2 x 32 x 21 x 971 = 1305024

Least Common Multiple of 64,42,971 with GCF Formula

Least Common Multiple of 64,42,971 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 64,42,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,42,971) = 1

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

GCF(64,42,971) x common factors =1 x 2 = 2

LCM(64,42,971) = ( 64 × 42 × 971 ) / 2

LCM(64,42,971) = 2610048 / 2

LCM(64,42,971) = 1305024


Lets's calculate GCF of 51,53,582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1305024/1

Therefore the LCM of Fractions 64/51,42/53,971/582 is 1305024

Greatest Common Factor of 51,53,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,53,582 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 51,53,582 . The biggest common factor number is the GCF number.
So the greatest common factor 51,53,582 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 64/51, 42/53, 971/582

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 64/51, 42/53, 971/582?

Answer: LCM of Numerators as per given numbers 64/51, 42/53, 971/582 is

LCM of Numerators i.e. for 64,42,971 is 1305024

GCF of denominators i.e. for 51,53,582 is 1.

Thus, LCM of Fractions is 1305024.Finally, LCM of Fractions for 64/51, 42/53, 971/582 is 1305024.