Least Common Multiple of 754/90, 394/65, 517/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 754/90, 394/65, 517/625 quickly i.e. 76794146/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 754/90, 394/65, 517/625 is 76794146/5.

LCM(754/90, 394/65, 517/625) = 76794146/5

LCM of 754/90, 394/65, 517/625

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 754/90,394/65,517/625

Given numbers are 754/90,394/65,517/625

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 754,394,517

Least Common Multiple of Numerators i.e. LCM of 754,394,517 is 76794146.

GCF of Denominators means GCF of 90,65,625 as per the given fractions.

GCF of 90,65,625 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 754,394,517

LCM of Fractions 754/90,394/65,517/625 is 76794146/5

2 754, 394, 517
377, 197, 517

∴ So the LCM of the given numbers is 2 x 377 x 197 x 517 = 76794146

Least Common Multiple of 754,394,517 with GCF Formula

Least Common Multiple of 754,394,517 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 754,394,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,394,517) = 1

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

GCF(754,394,517) x common factors =1 x 2 = 2

LCM(754,394,517) = ( 754 × 394 × 517 ) / 2

LCM(754,394,517) = 153588292 / 2

LCM(754,394,517) = 76794146


Lets's calculate GCF of 90,65,625

5 90, 65, 625
18, 13, 125

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76794146/5

Therefore the LCM of Fractions 754/90,394/65,517/625 is 76794146/5

Greatest Common Factor of 90,65,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,65,625 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 90,65,625 . The biggest common factor number is the GCF number.
So the greatest common factor 90,65,625 is 5.


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 754/90, 394/65, 517/625

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 754/90, 394/65, 517/625?

Answer: LCM of Numerators as per given numbers 754/90, 394/65, 517/625 is

LCM of Numerators i.e. for 754,394,517 is 76794146

GCF of denominators i.e. for 90,65,625 is 5.

Thus, LCM of Fractions is 76794146/5.Finally, LCM of Fractions for 754/90, 394/65, 517/625 is 76794146/5.