Least Common Multiple of 76/304, 13/795, 541/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/304, 13/795, 541/850 quickly i.e. 534508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/304, 13/795, 541/850 is 534508.

LCM(76/304, 13/795, 541/850) = 534508

LCM of 76/304, 13/795, 541/850

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 76/304,13/795,541/850

Given numbers are 76/304,13/795,541/850

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 76,13,541

Least Common Multiple of Numerators i.e. LCM of 76,13,541 is 534508.

GCF of Denominators means GCF of 304,795,850 as per the given fractions.

GCF of 304,795,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,13,541

LCM of Fractions 76/304,13/795,541/850 is 534508

Given numbers has no common factors except 1. So, there LCM is their product i.e 534508

Least Common Multiple of 76,13,541 with GCF Formula

Least Common Multiple of 76,13,541 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 76,13,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,13,541) = 1

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

GCF(76,13,541) x common factors =1 x 1 = 1

LCM(76,13,541) = ( 76 × 13 × 541 ) / 1

LCM(76,13,541) = 534508 / 1

LCM(76,13,541) = 534508


Lets's calculate GCF of 304,795,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 534508/1

Therefore the LCM of Fractions 76/304,13/795,541/850 is 534508

Greatest Common Factor of 304,795,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,795,850 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 304,795,850 . The biggest common factor number is the GCF number.
So the greatest common factor 304,795,850 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 76/304, 13/795, 541/850

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 76/304, 13/795, 541/850?

Answer: LCM of Numerators as per given numbers 76/304, 13/795, 541/850 is

LCM of Numerators i.e. for 76,13,541 is 534508

GCF of denominators i.e. for 304,795,850 is 1.

Thus, LCM of Fractions is 534508.Finally, LCM of Fractions for 76/304, 13/795, 541/850 is 534508.