Least Common Multiple of 616/32, 848/2689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/32, 848/2689 quickly i.e. 65296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/32, 848/2689 is 65296.

LCM(616/32, 848/2689) = 65296

LCM of 616/32, 848/2689

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 616/32,848/2689

Given numbers are 616/32,848/2689

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 616,848

Least Common Multiple of Numerators i.e. LCM of 616,848 is 65296.

GCF of Denominators means GCF of 32,2689 as per the given fractions.

GCF of 32,2689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,848

LCM of Fractions 616/32,848/2689 is 65296

2 616, 848
2 308, 424
2 154, 212
77, 106

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 106 = 65296

Least Common Multiple of 616,848 with GCF Formula

Least Common Multiple of 616,848 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 616,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,848) = 8

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

GCF(616,848) x common factors =8 x 1 = 8

LCM(616,848) = ( 616 × 848 ) / 8

LCM(616,848) = 522368 / 8

LCM(616,848) = 65296


Lets's calculate GCF of 32,2689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65296/1

Therefore the LCM of Fractions 616/32,848/2689 is 65296

Greatest Common Factor of 32,2689 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,2689 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 2689

List of positive integer factors of 2689 that divides 2689 without a remainder.

1,2689

Greatest Common Factor

We found the factors 32,2689 . The biggest common factor number is the GCF number.
So the greatest common factor 32,2689 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 616/32, 848/2689

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 616/32, 848/2689?

Answer: LCM of Numerators as per given numbers 616/32, 848/2689 is

LCM of Numerators i.e. for 616,848 is 65296

GCF of denominators i.e. for 32,2689 is 1.

Thus, LCM of Fractions is 65296.Finally, LCM of Fractions for 616/32, 848/2689 is 65296.