Least Common Multiple of 810/82, 458/41, 757/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/82, 458/41, 757/973 quickly i.e. 140415930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/82, 458/41, 757/973 is 140415930.

LCM(810/82, 458/41, 757/973) = 140415930

LCM of 810/82, 458/41, 757/973

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 810/82,458/41,757/973

Given numbers are 810/82,458/41,757/973

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 810,458,757

Least Common Multiple of Numerators i.e. LCM of 810,458,757 is 140415930.

GCF of Denominators means GCF of 82,41,973 as per the given fractions.

GCF of 82,41,973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,458,757

LCM of Fractions 810/82,458/41,757/973 is 140415930

2 810, 458, 757
405, 229, 757

∴ So the LCM of the given numbers is 2 x 405 x 229 x 757 = 140415930

Least Common Multiple of 810,458,757 with GCF Formula

Least Common Multiple of 810,458,757 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 810,458,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,458,757) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(810,458,757) x common factors =1 x 2 = 2

LCM(810,458,757) = ( 810 × 458 × 757 ) / 2

LCM(810,458,757) = 280831860 / 2

LCM(810,458,757) = 140415930


Lets's calculate GCF of 82,41,973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140415930/1

Therefore the LCM of Fractions 810/82,458/41,757/973 is 140415930

Greatest Common Factor of 82,41,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,41,973 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 41

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

1,41

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 82,41,973 . The biggest common factor number is the GCF number.
So the greatest common factor 82,41,973 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 810/82, 458/41, 757/973

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 810/82, 458/41, 757/973?

Answer: LCM of Numerators as per given numbers 810/82, 458/41, 757/973 is

LCM of Numerators i.e. for 810,458,757 is 140415930

GCF of denominators i.e. for 82,41,973 is 1.

Thus, LCM of Fractions is 140415930.Finally, LCM of Fractions for 810/82, 458/41, 757/973 is 140415930.