Least Common Multiple of 1522/914, 5617/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1522/914, 5617/489 quickly i.e. 8549074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1522/914, 5617/489 is 8549074.

LCM(1522/914, 5617/489) = 8549074

LCM of 1522/914, 5617/489

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 1522/914,5617/489

Given numbers are 1522/914,5617/489

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 1522,5617

Least Common Multiple of Numerators i.e. LCM of 1522,5617 is 8549074.

GCF of Denominators means GCF of 914,489 as per the given fractions.

GCF of 914,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1522,5617

LCM of Fractions 1522/914,5617/489 is 8549074

Given numbers has no common factors except 1. So, there LCM is their product i.e 8549074

Least Common Multiple of 1522,5617 with GCF Formula

Least Common Multiple of 1522,5617 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 1522,5617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1522,5617) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1522,5617) x common factors =1 x 1 = 1

LCM(1522,5617) = ( 1522 × 5617 ) / 1

LCM(1522,5617) = 8549074 / 1

LCM(1522,5617) = 8549074


Lets's calculate GCF of 914,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8549074/1

Therefore the LCM of Fractions 1522/914,5617/489 is 8549074

Greatest Common Factor of 914,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,489 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 914,489 . The biggest common factor number is the GCF number.
So the greatest common factor 914,489 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1522/914, 5617/489

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 1522/914, 5617/489?

Answer: LCM of Numerators as per given numbers 1522/914, 5617/489 is

LCM of Numerators i.e. for 1522,5617 is 8549074

GCF of denominators i.e. for 914,489 is 1.

Thus, LCM of Fractions is 8549074.Finally, LCM of Fractions for 1522/914, 5617/489 is 8549074.