Least Common Multiple of 41/682, 70/738, 637/801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/682, 70/738, 637/801 quickly i.e. 261170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/682, 70/738, 637/801 is 261170.

LCM(41/682, 70/738, 637/801) = 261170

LCM of 41/682, 70/738, 637/801

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 41/682,70/738,637/801

Given numbers are 41/682,70/738,637/801

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 41,70,637

Least Common Multiple of Numerators i.e. LCM of 41,70,637 is 261170.

GCF of Denominators means GCF of 682,738,801 as per the given fractions.

GCF of 682,738,801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,70,637

LCM of Fractions 41/682,70/738,637/801 is 261170

7 41, 70, 637
41, 10, 91

∴ So the LCM of the given numbers is 7 x 41 x 10 x 91 = 261170

Least Common Multiple of 41,70,637 with GCF Formula

Least Common Multiple of 41,70,637 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 41,70,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,70,637) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(41,70,637) x common factors =1 x 7 = 7

LCM(41,70,637) = ( 41 × 70 × 637 ) / 7

LCM(41,70,637) = 1828190 / 7

LCM(41,70,637) = 261170


Lets's calculate GCF of 682,738,801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261170/1

Therefore the LCM of Fractions 41/682,70/738,637/801 is 261170

Greatest Common Factor of 682,738,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,738,801 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Greatest Common Factor

We found the factors 682,738,801 . The biggest common factor number is the GCF number.
So the greatest common factor 682,738,801 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 41/682, 70/738, 637/801

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 41/682, 70/738, 637/801?

Answer: LCM of Numerators as per given numbers 41/682, 70/738, 637/801 is

LCM of Numerators i.e. for 41,70,637 is 261170

GCF of denominators i.e. for 682,738,801 is 1.

Thus, LCM of Fractions is 261170.Finally, LCM of Fractions for 41/682, 70/738, 637/801 is 261170.