Least Common Multiple of 64/574, 620/357, 707/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/574, 620/357, 707/539 quickly i.e. 1001920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/574, 620/357, 707/539 is 1001920.

LCM(64/574, 620/357, 707/539) = 1001920

LCM of 64/574, 620/357, 707/539

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 64/574,620/357,707/539

Given numbers are 64/574,620/357,707/539

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 64,620,707

Least Common Multiple of Numerators i.e. LCM of 64,620,707 is 7013440.

GCF of Denominators means GCF of 574,357,539 as per the given fractions.

GCF of 574,357,539 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,620,707

LCM of Fractions 64/574,620/357,707/539 is 1001920

2 64, 620, 707
2 32, 310, 707
16, 155, 707

∴ So the LCM of the given numbers is 2 x 2 x 16 x 155 x 707 = 7013440

Least Common Multiple of 64,620,707 with GCF Formula

Least Common Multiple of 64,620,707 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 64,620,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,620,707) = 1

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

GCF(64,620,707) x common factors =1 x 4 = 4

LCM(64,620,707) = ( 64 × 620 × 707 ) / 4

LCM(64,620,707) = 28053760 / 4

LCM(64,620,707) = 7013440


Lets's calculate GCF of 574,357,539

7 574, 357, 539
82, 51, 77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7013440/7

Therefore the LCM of Fractions 64/574,620/357,707/539 is 1001920

Greatest Common Factor of 574,357,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,357,539 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 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 574,357,539 . The biggest common factor number is the GCF number.
So the greatest common factor 574,357,539 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 64/574, 620/357, 707/539

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 64/574, 620/357, 707/539?

Answer: LCM of Numerators as per given numbers 64/574, 620/357, 707/539 is

LCM of Numerators i.e. for 64,620,707 is 7013440

GCF of denominators i.e. for 574,357,539 is 7.

Thus, LCM of Fractions is 1001920.Finally, LCM of Fractions for 64/574, 620/357, 707/539 is 1001920.