Least Common Multiple of 75/740, 28/979, 586/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/740, 28/979, 586/926 quickly i.e. 615300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/740, 28/979, 586/926 is 615300.

LCM(75/740, 28/979, 586/926) = 615300

LCM of 75/740, 28/979, 586/926

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 75/740,28/979,586/926

Given numbers are 75/740,28/979,586/926

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 75,28,586

Least Common Multiple of Numerators i.e. LCM of 75,28,586 is 615300.

GCF of Denominators means GCF of 740,979,926 as per the given fractions.

GCF of 740,979,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,28,586

LCM of Fractions 75/740,28/979,586/926 is 615300

2 75, 28, 586
75, 14, 293

∴ So the LCM of the given numbers is 2 x 75 x 14 x 293 = 615300

Least Common Multiple of 75,28,586 with GCF Formula

Least Common Multiple of 75,28,586 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 75,28,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,28,586) = 1

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

GCF(75,28,586) x common factors =1 x 2 = 2

LCM(75,28,586) = ( 75 × 28 × 586 ) / 2

LCM(75,28,586) = 1230600 / 2

LCM(75,28,586) = 615300


Lets's calculate GCF of 740,979,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615300/1

Therefore the LCM of Fractions 75/740,28/979,586/926 is 615300

Greatest Common Factor of 740,979,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,979,926 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 740,979,926 . The biggest common factor number is the GCF number.
So the greatest common factor 740,979,926 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 75/740, 28/979, 586/926

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 75/740, 28/979, 586/926?

Answer: LCM of Numerators as per given numbers 75/740, 28/979, 586/926 is

LCM of Numerators i.e. for 75,28,586 is 615300

GCF of denominators i.e. for 740,979,926 is 1.

Thus, LCM of Fractions is 615300.Finally, LCM of Fractions for 75/740, 28/979, 586/926 is 615300.