Least Common Multiple of 76/804, 641/422, 141/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/804, 641/422, 141/597 quickly i.e. 6868956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/804, 641/422, 141/597 is 6868956.

LCM(76/804, 641/422, 141/597) = 6868956

LCM of 76/804, 641/422, 141/597

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 76/804,641/422,141/597

Given numbers are 76/804,641/422,141/597

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 76,641,141

Least Common Multiple of Numerators i.e. LCM of 76,641,141 is 6868956.

GCF of Denominators means GCF of 804,422,597 as per the given fractions.

GCF of 804,422,597 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,641,141

LCM of Fractions 76/804,641/422,141/597 is 6868956

Given numbers has no common factors except 1. So, there LCM is their product i.e 6868956

Least Common Multiple of 76,641,141 with GCF Formula

Least Common Multiple of 76,641,141 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 76,641,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,641,141) = 1

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

GCF(76,641,141) x common factors =1 x 1 = 1

LCM(76,641,141) = ( 76 × 641 × 141 ) / 1

LCM(76,641,141) = 6868956 / 1

LCM(76,641,141) = 6868956


Lets's calculate GCF of 804,422,597

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6868956/1

Therefore the LCM of Fractions 76/804,641/422,141/597 is 6868956

Greatest Common Factor of 804,422,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,422,597 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 804,422,597 . The biggest common factor number is the GCF number.
So the greatest common factor 804,422,597 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 76/804, 641/422, 141/597

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 76/804, 641/422, 141/597?

Answer: LCM of Numerators as per given numbers 76/804, 641/422, 141/597 is

LCM of Numerators i.e. for 76,641,141 is 6868956

GCF of denominators i.e. for 804,422,597 is 1.

Thus, LCM of Fractions is 6868956.Finally, LCM of Fractions for 76/804, 641/422, 141/597 is 6868956.