Least Common Multiple of 518/25, 818/70, 217/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 518/25, 818/70, 217/124 quickly i.e. 6567722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/25, 818/70, 217/124 is 6567722.

LCM(518/25, 818/70, 217/124) = 6567722

LCM of 518/25, 818/70, 217/124

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 518/25,818/70,217/124

Given numbers are 518/25,818/70,217/124

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 518,818,217

Least Common Multiple of Numerators i.e. LCM of 518,818,217 is 6567722.

GCF of Denominators means GCF of 25,70,124 as per the given fractions.

GCF of 25,70,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,818,217

LCM of Fractions 518/25,818/70,217/124 is 6567722

2 518, 818, 217
7 259, 409, 217
37, 409, 31

∴ So the LCM of the given numbers is 2 x 7 x 37 x 409 x 31 = 6567722

Least Common Multiple of 518,818,217 with GCF Formula

Least Common Multiple of 518,818,217 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 518,818,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,818,217) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(518,818,217) x common factors =1 x 14 = 14

LCM(518,818,217) = ( 518 × 818 × 217 ) / 14

LCM(518,818,217) = 91948108 / 14

LCM(518,818,217) = 6567722


Lets's calculate GCF of 25,70,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6567722/1

Therefore the LCM of Fractions 518/25,818/70,217/124 is 6567722

Greatest Common Factor of 25,70,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,70,124 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 25,70,124 . The biggest common factor number is the GCF number.
So the greatest common factor 25,70,124 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 518/25, 818/70, 217/124

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 518/25, 818/70, 217/124?

Answer: LCM of Numerators as per given numbers 518/25, 818/70, 217/124 is

LCM of Numerators i.e. for 518,818,217 is 6567722

GCF of denominators i.e. for 25,70,124 is 1.

Thus, LCM of Fractions is 6567722.Finally, LCM of Fractions for 518/25, 818/70, 217/124 is 6567722.