Least Common Multiple of 91/612, 1649/4849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/612, 1649/4849 quickly i.e. 150059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/612, 1649/4849 is 150059.

LCM(91/612, 1649/4849) = 150059

LCM of 91/612, 1649/4849

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 91/612,1649/4849

Given numbers are 91/612,1649/4849

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 91,1649

Least Common Multiple of Numerators i.e. LCM of 91,1649 is 150059.

GCF of Denominators means GCF of 612,4849 as per the given fractions.

GCF of 612,4849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,1649

LCM of Fractions 91/612,1649/4849 is 150059

Given numbers has no common factors except 1. So, there LCM is their product i.e 150059

Least Common Multiple of 91,1649 with GCF Formula

Least Common Multiple of 91,1649 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 91,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,1649) = 1

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

GCF(91,1649) x common factors =1 x 1 = 1

LCM(91,1649) = ( 91 × 1649 ) / 1

LCM(91,1649) = 150059 / 1

LCM(91,1649) = 150059


Lets's calculate GCF of 612,4849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150059/1

Therefore the LCM of Fractions 91/612,1649/4849 is 150059

Greatest Common Factor of 612,4849 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,4849 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 4849

List of positive integer factors of 4849 that divides 4849 without a remainder.

1,13,373,4849

Greatest Common Factor

We found the factors 612,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 612,4849 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 91/612, 1649/4849

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 91/612, 1649/4849?

Answer: LCM of Numerators as per given numbers 91/612, 1649/4849 is

LCM of Numerators i.e. for 91,1649 is 150059

GCF of denominators i.e. for 612,4849 is 1.

Thus, LCM of Fractions is 150059.Finally, LCM of Fractions for 91/612, 1649/4849 is 150059.