Least Common Multiple of 74/735, 681/413, 801/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/735, 681/413, 801/351 quickly i.e. 13455198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/735, 681/413, 801/351 is 13455198.

LCM(74/735, 681/413, 801/351) = 13455198

LCM of 74/735, 681/413, 801/351

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 74/735,681/413,801/351

Given numbers are 74/735,681/413,801/351

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 74,681,801

Least Common Multiple of Numerators i.e. LCM of 74,681,801 is 13455198.

GCF of Denominators means GCF of 735,413,351 as per the given fractions.

GCF of 735,413,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,681,801

LCM of Fractions 74/735,681/413,801/351 is 13455198

3 74, 681, 801
74, 227, 267

∴ So the LCM of the given numbers is 3 x 74 x 227 x 267 = 13455198

Least Common Multiple of 74,681,801 with GCF Formula

Least Common Multiple of 74,681,801 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 74,681,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,681,801) = 1

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

GCF(74,681,801) x common factors =1 x 3 = 3

LCM(74,681,801) = ( 74 × 681 × 801 ) / 3

LCM(74,681,801) = 40365594 / 3

LCM(74,681,801) = 13455198


Lets's calculate GCF of 735,413,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13455198/1

Therefore the LCM of Fractions 74/735,681/413,801/351 is 13455198

Greatest Common Factor of 735,413,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,413,351 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 735,413,351 . The biggest common factor number is the GCF number.
So the greatest common factor 735,413,351 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 74/735, 681/413, 801/351

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 74/735, 681/413, 801/351?

Answer: LCM of Numerators as per given numbers 74/735, 681/413, 801/351 is

LCM of Numerators i.e. for 74,681,801 is 13455198

GCF of denominators i.e. for 735,413,351 is 1.

Thus, LCM of Fractions is 13455198.Finally, LCM of Fractions for 74/735, 681/413, 801/351 is 13455198.