Least Common Multiple of 616/532, 5774/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/532, 5774/659 quickly i.e. 1778392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/532, 5774/659 is 1778392.

LCM(616/532, 5774/659) = 1778392

LCM of 616/532, 5774/659

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 616/532,5774/659

Given numbers are 616/532,5774/659

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 616,5774

Least Common Multiple of Numerators i.e. LCM of 616,5774 is 1778392.

GCF of Denominators means GCF of 532,659 as per the given fractions.

GCF of 532,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,5774

LCM of Fractions 616/532,5774/659 is 1778392

2 616, 5774
308, 2887

∴ So the LCM of the given numbers is 2 x 308 x 2887 = 1778392

Least Common Multiple of 616,5774 with GCF Formula

Least Common Multiple of 616,5774 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 616,5774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,5774) = 2

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

GCF(616,5774) x common factors =2 x 1 = 2

LCM(616,5774) = ( 616 × 5774 ) / 2

LCM(616,5774) = 3556784 / 2

LCM(616,5774) = 1778392


Lets's calculate GCF of 532,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1778392/1

Therefore the LCM of Fractions 616/532,5774/659 is 1778392

Greatest Common Factor of 532,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,659 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 532,659 . The biggest common factor number is the GCF number.
So the greatest common factor 532,659 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 616/532, 5774/659

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 616/532, 5774/659?

Answer: LCM of Numerators as per given numbers 616/532, 5774/659 is

LCM of Numerators i.e. for 616,5774 is 1778392

GCF of denominators i.e. for 532,659 is 1.

Thus, LCM of Fractions is 1778392.Finally, LCM of Fractions for 616/532, 5774/659 is 1778392.