Least Common Multiple of 766/41, 946/4901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/41, 946/4901 quickly i.e. 362318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/41, 946/4901 is 362318.

LCM(766/41, 946/4901) = 362318

LCM of 766/41, 946/4901

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 766/41,946/4901

Given numbers are 766/41,946/4901

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 766,946

Least Common Multiple of Numerators i.e. LCM of 766,946 is 362318.

GCF of Denominators means GCF of 41,4901 as per the given fractions.

GCF of 41,4901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,946

LCM of Fractions 766/41,946/4901 is 362318

2 766, 946
383, 473

∴ So the LCM of the given numbers is 2 x 383 x 473 = 362318

Least Common Multiple of 766,946 with GCF Formula

Least Common Multiple of 766,946 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 766,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,946) = 2

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

GCF(766,946) x common factors =2 x 1 = 2

LCM(766,946) = ( 766 × 946 ) / 2

LCM(766,946) = 724636 / 2

LCM(766,946) = 362318


Lets's calculate GCF of 41,4901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362318/1

Therefore the LCM of Fractions 766/41,946/4901 is 362318

Greatest Common Factor of 41,4901 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,4901 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1,13,29,169,377,4901

Greatest Common Factor

We found the factors 41,4901 . The biggest common factor number is the GCF number.
So the greatest common factor 41,4901 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 766/41, 946/4901

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 766/41, 946/4901?

Answer: LCM of Numerators as per given numbers 766/41, 946/4901 is

LCM of Numerators i.e. for 766,946 is 362318

GCF of denominators i.e. for 41,4901 is 1.

Thus, LCM of Fractions is 362318.Finally, LCM of Fractions for 766/41, 946/4901 is 362318.