Least Common Multiple of 620/769, 246/274, 465/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 620/769, 246/274, 465/281 quickly i.e. 76260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 620/769, 246/274, 465/281 is 76260.

LCM(620/769, 246/274, 465/281) = 76260

LCM of 620/769, 246/274, 465/281

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 620/769,246/274,465/281

Given numbers are 620/769,246/274,465/281

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 620,246,465

Least Common Multiple of Numerators i.e. LCM of 620,246,465 is 76260.

GCF of Denominators means GCF of 769,274,281 as per the given fractions.

GCF of 769,274,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 620,246,465

LCM of Fractions 620/769,246/274,465/281 is 76260

2 620, 246, 465
3 310, 123, 465
5 310, 41, 155
31 62, 41, 31
2, 41, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 2 x 41 x 1 = 76260

Least Common Multiple of 620,246,465 with GCF Formula

Least Common Multiple of 620,246,465 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 620,246,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,246,465) = 1

common factors(in case of two or more numbers have common factors) = 930

GCF(620,246,465) x common factors =1 x 930 = 930

LCM(620,246,465) = ( 620 × 246 × 465 ) / 930

LCM(620,246,465) = 70921800 / 930

LCM(620,246,465) = 76260


Lets's calculate GCF of 769,274,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76260/1

Therefore the LCM of Fractions 620/769,246/274,465/281 is 76260

Greatest Common Factor of 769,274,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 769,274,281 By Matching Biggest Common Factor Method

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 769,274,281 . The biggest common factor number is the GCF number.
So the greatest common factor 769,274,281 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 620/769, 246/274, 465/281

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 620/769, 246/274, 465/281?

Answer: LCM of Numerators as per given numbers 620/769, 246/274, 465/281 is

LCM of Numerators i.e. for 620,246,465 is 76260

GCF of denominators i.e. for 769,274,281 is 1.

Thus, LCM of Fractions is 76260.Finally, LCM of Fractions for 620/769, 246/274, 465/281 is 76260.