Least Common Multiple of 78/572, 958/699, 784/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/572, 958/699, 784/913 quickly i.e. 14645904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/572, 958/699, 784/913 is 14645904.

LCM(78/572, 958/699, 784/913) = 14645904

LCM of 78/572, 958/699, 784/913

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 78/572,958/699,784/913

Given numbers are 78/572,958/699,784/913

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 78,958,784

Least Common Multiple of Numerators i.e. LCM of 78,958,784 is 14645904.

GCF of Denominators means GCF of 572,699,913 as per the given fractions.

GCF of 572,699,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,958,784

LCM of Fractions 78/572,958/699,784/913 is 14645904

2 78, 958, 784
39, 479, 392

∴ So the LCM of the given numbers is 2 x 39 x 479 x 392 = 14645904

Least Common Multiple of 78,958,784 with GCF Formula

Least Common Multiple of 78,958,784 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 78,958,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,958,784) = 2

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

GCF(78,958,784) x common factors =2 x 2 = 4

LCM(78,958,784) = ( 78 × 958 × 784 ) / 4

LCM(78,958,784) = 58583616 / 4

LCM(78,958,784) = 14645904


Lets's calculate GCF of 572,699,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14645904/1

Therefore the LCM of Fractions 78/572,958/699,784/913 is 14645904

Greatest Common Factor of 572,699,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 572,699,913 By Matching Biggest Common Factor Method

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 572,699,913 . The biggest common factor number is the GCF number.
So the greatest common factor 572,699,913 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 78/572, 958/699, 784/913

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 78/572, 958/699, 784/913?

Answer: LCM of Numerators as per given numbers 78/572, 958/699, 784/913 is

LCM of Numerators i.e. for 78,958,784 is 14645904

GCF of denominators i.e. for 572,699,913 is 1.

Thus, LCM of Fractions is 14645904.Finally, LCM of Fractions for 78/572, 958/699, 784/913 is 14645904.