Least Common Multiple of 928/79, 411/28, 504/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 928/79, 411/28, 504/670 quickly i.e. 8009568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 928/79, 411/28, 504/670 is 8009568.

LCM(928/79, 411/28, 504/670) = 8009568

LCM of 928/79, 411/28, 504/670

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 928/79,411/28,504/670

Given numbers are 928/79,411/28,504/670

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 928,411,504

Least Common Multiple of Numerators i.e. LCM of 928,411,504 is 8009568.

GCF of Denominators means GCF of 79,28,670 as per the given fractions.

GCF of 79,28,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 928,411,504

LCM of Fractions 928/79,411/28,504/670 is 8009568

2 928, 411, 504
2 464, 411, 252
2 232, 411, 126
3 116, 411, 63
116, 137, 21

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 116 x 137 x 21 = 8009568

Least Common Multiple of 928,411,504 with GCF Formula

Least Common Multiple of 928,411,504 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 928,411,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,411,504) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(928,411,504) x common factors =1 x 24 = 24

LCM(928,411,504) = ( 928 × 411 × 504 ) / 24

LCM(928,411,504) = 192229632 / 24

LCM(928,411,504) = 8009568


Lets's calculate GCF of 79,28,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8009568/1

Therefore the LCM of Fractions 928/79,411/28,504/670 is 8009568

Greatest Common Factor of 79,28,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,28,670 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 79,28,670 . The biggest common factor number is the GCF number.
So the greatest common factor 79,28,670 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 928/79, 411/28, 504/670

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 928/79, 411/28, 504/670?

Answer: LCM of Numerators as per given numbers 928/79, 411/28, 504/670 is

LCM of Numerators i.e. for 928,411,504 is 8009568

GCF of denominators i.e. for 79,28,670 is 1.

Thus, LCM of Fractions is 8009568.Finally, LCM of Fractions for 928/79, 411/28, 504/670 is 8009568.