Least Common Multiple of 613/74, 778/6494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 613/74, 778/6494 quickly i.e. 238457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/74, 778/6494 is 238457.

LCM(613/74, 778/6494) = 238457

LCM of 613/74, 778/6494

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 613/74,778/6494

Given numbers are 613/74,778/6494

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 613,778

Least Common Multiple of Numerators i.e. LCM of 613,778 is 476914.

GCF of Denominators means GCF of 74,6494 as per the given fractions.

GCF of 74,6494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,778

LCM of Fractions 613/74,778/6494 is 238457

Given numbers has no common factors except 1. So, there LCM is their product i.e 476914

Least Common Multiple of 613,778 with GCF Formula

Least Common Multiple of 613,778 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 613,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,778) = 1

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

GCF(613,778) x common factors =1 x 1 = 1

LCM(613,778) = ( 613 × 778 ) / 1

LCM(613,778) = 476914 / 1

LCM(613,778) = 476914


Lets's calculate GCF of 74,6494

2 74, 6494
37, 3247

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476914/2

Therefore the LCM of Fractions 613/74,778/6494 is 238457

Greatest Common Factor of 74,6494 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,6494 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 6494

List of positive integer factors of 6494 that divides 6494 without a remainder.

1,2,17,34,191,382,3247,6494

Greatest Common Factor

We found the factors 74,6494 . The biggest common factor number is the GCF number.
So the greatest common factor 74,6494 is 2.


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 613/74, 778/6494

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 613/74, 778/6494?

Answer: LCM of Numerators as per given numbers 613/74, 778/6494 is

LCM of Numerators i.e. for 613,778 is 476914

GCF of denominators i.e. for 74,6494 is 2.

Thus, LCM of Fractions is 238457.Finally, LCM of Fractions for 613/74, 778/6494 is 238457.