Least Common Multiple of 264/35, 461/59, 681/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/35, 461/59, 681/341 quickly i.e. 27626808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/35, 461/59, 681/341 is 27626808.

LCM(264/35, 461/59, 681/341) = 27626808

LCM of 264/35, 461/59, 681/341

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 264/35,461/59,681/341

Given numbers are 264/35,461/59,681/341

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 264,461,681

Least Common Multiple of Numerators i.e. LCM of 264,461,681 is 27626808.

GCF of Denominators means GCF of 35,59,341 as per the given fractions.

GCF of 35,59,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,461,681

LCM of Fractions 264/35,461/59,681/341 is 27626808

3 264, 461, 681
88, 461, 227

∴ So the LCM of the given numbers is 3 x 88 x 461 x 227 = 27626808

Least Common Multiple of 264,461,681 with GCF Formula

Least Common Multiple of 264,461,681 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 264,461,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,461,681) = 1

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

GCF(264,461,681) x common factors =1 x 3 = 3

LCM(264,461,681) = ( 264 × 461 × 681 ) / 3

LCM(264,461,681) = 82880424 / 3

LCM(264,461,681) = 27626808


Lets's calculate GCF of 35,59,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27626808/1

Therefore the LCM of Fractions 264/35,461/59,681/341 is 27626808

Greatest Common Factor of 35,59,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,59,341 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 35,59,341 . The biggest common factor number is the GCF number.
So the greatest common factor 35,59,341 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 264/35, 461/59, 681/341

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 264/35, 461/59, 681/341?

Answer: LCM of Numerators as per given numbers 264/35, 461/59, 681/341 is

LCM of Numerators i.e. for 264,461,681 is 27626808

GCF of denominators i.e. for 35,59,341 is 1.

Thus, LCM of Fractions is 27626808.Finally, LCM of Fractions for 264/35, 461/59, 681/341 is 27626808.