Least Common Multiple of 76/305, 619/60, 709/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/305, 619/60, 709/333 quickly i.e. 33354196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/305, 619/60, 709/333 is 33354196.

LCM(76/305, 619/60, 709/333) = 33354196

LCM of 76/305, 619/60, 709/333

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 76/305,619/60,709/333

Given numbers are 76/305,619/60,709/333

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 76,619,709

Least Common Multiple of Numerators i.e. LCM of 76,619,709 is 33354196.

GCF of Denominators means GCF of 305,60,333 as per the given fractions.

GCF of 305,60,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,619,709

LCM of Fractions 76/305,619/60,709/333 is 33354196

Given numbers has no common factors except 1. So, there LCM is their product i.e 33354196

Least Common Multiple of 76,619,709 with GCF Formula

Least Common Multiple of 76,619,709 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 76,619,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,619,709) = 1

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

GCF(76,619,709) x common factors =1 x 1 = 1

LCM(76,619,709) = ( 76 × 619 × 709 ) / 1

LCM(76,619,709) = 33354196 / 1

LCM(76,619,709) = 33354196


Lets's calculate GCF of 305,60,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33354196/1

Therefore the LCM of Fractions 76/305,619/60,709/333 is 33354196

Greatest Common Factor of 305,60,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,60,333 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 305,60,333 . The biggest common factor number is the GCF number.
So the greatest common factor 305,60,333 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 76/305, 619/60, 709/333

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 76/305, 619/60, 709/333?

Answer: LCM of Numerators as per given numbers 76/305, 619/60, 709/333 is

LCM of Numerators i.e. for 76,619,709 is 33354196

GCF of denominators i.e. for 305,60,333 is 1.

Thus, LCM of Fractions is 33354196.Finally, LCM of Fractions for 76/305, 619/60, 709/333 is 33354196.