Least Common Multiple of 354/782, 789/554, 709/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/782, 789/554, 709/239 quickly i.e. 66009318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/782, 789/554, 709/239 is 66009318.

LCM(354/782, 789/554, 709/239) = 66009318

LCM of 354/782, 789/554, 709/239

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 354/782,789/554,709/239

Given numbers are 354/782,789/554,709/239

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 354,789,709

Least Common Multiple of Numerators i.e. LCM of 354,789,709 is 66009318.

GCF of Denominators means GCF of 782,554,239 as per the given fractions.

GCF of 782,554,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,789,709

LCM of Fractions 354/782,789/554,709/239 is 66009318

3 354, 789, 709
118, 263, 709

∴ So the LCM of the given numbers is 3 x 118 x 263 x 709 = 66009318

Least Common Multiple of 354,789,709 with GCF Formula

Least Common Multiple of 354,789,709 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 354,789,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,789,709) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(354,789,709) x common factors =1 x 3 = 3

LCM(354,789,709) = ( 354 × 789 × 709 ) / 3

LCM(354,789,709) = 198027954 / 3

LCM(354,789,709) = 66009318


Lets's calculate GCF of 782,554,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66009318/1

Therefore the LCM of Fractions 354/782,789/554,709/239 is 66009318

Greatest Common Factor of 782,554,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,554,239 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 782,554,239 . The biggest common factor number is the GCF number.
So the greatest common factor 782,554,239 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 354/782, 789/554, 709/239

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 354/782, 789/554, 709/239?

Answer: LCM of Numerators as per given numbers 354/782, 789/554, 709/239 is

LCM of Numerators i.e. for 354,789,709 is 66009318

GCF of denominators i.e. for 782,554,239 is 1.

Thus, LCM of Fractions is 66009318.Finally, LCM of Fractions for 354/782, 789/554, 709/239 is 66009318.