Least Common Multiple of 647/574, 976/707, 128/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 647/574, 976/707, 128/532 quickly i.e. 5051776/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/574, 976/707, 128/532 is 5051776/7.

LCM(647/574, 976/707, 128/532) = 5051776/7

LCM of 647/574, 976/707, 128/532

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 647/574,976/707,128/532

Given numbers are 647/574,976/707,128/532

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 647,976,128

Least Common Multiple of Numerators i.e. LCM of 647,976,128 is 5051776.

GCF of Denominators means GCF of 574,707,532 as per the given fractions.

GCF of 574,707,532 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,976,128

LCM of Fractions 647/574,976/707,128/532 is 5051776/7

2 647, 976, 128
2 647, 488, 64
2 647, 244, 32
2 647, 122, 16
647, 61, 8

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 647 x 61 x 8 = 5051776

Least Common Multiple of 647,976,128 with GCF Formula

Least Common Multiple of 647,976,128 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 647,976,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,976,128) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(647,976,128) x common factors =1 x 16 = 16

LCM(647,976,128) = ( 647 × 976 × 128 ) / 16

LCM(647,976,128) = 80828416 / 16

LCM(647,976,128) = 5051776


Lets's calculate GCF of 574,707,532

7 574, 707, 532
82, 101, 76

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5051776/7

Therefore the LCM of Fractions 647/574,976/707,128/532 is 5051776/7

Greatest Common Factor of 574,707,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,707,532 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 574,707,532 . The biggest common factor number is the GCF number.
So the greatest common factor 574,707,532 is 7.


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 647/574, 976/707, 128/532

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 647/574, 976/707, 128/532?

Answer: LCM of Numerators as per given numbers 647/574, 976/707, 128/532 is

LCM of Numerators i.e. for 647,976,128 is 5051776

GCF of denominators i.e. for 574,707,532 is 7.

Thus, LCM of Fractions is 5051776/7.Finally, LCM of Fractions for 647/574, 976/707, 128/532 is 5051776/7.