Least Common Multiple of 68/736, 30/841, 852/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 68/736, 30/841, 852/351 quickly i.e. 72420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/736, 30/841, 852/351 is 72420.

LCM(68/736, 30/841, 852/351) = 72420

LCM of 68/736, 30/841, 852/351

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 68/736,30/841,852/351

Given numbers are 68/736,30/841,852/351

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 68,30,852

Least Common Multiple of Numerators i.e. LCM of 68,30,852 is 72420.

GCF of Denominators means GCF of 736,841,351 as per the given fractions.

GCF of 736,841,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,30,852

LCM of Fractions 68/736,30/841,852/351 is 72420

2 68, 30, 852
2 34, 15, 426
3 17, 15, 213
17, 5, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 5 x 71 = 72420

Least Common Multiple of 68,30,852 with GCF Formula

Least Common Multiple of 68,30,852 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 68,30,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,30,852) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(68,30,852) x common factors =2 x 12 = 24

LCM(68,30,852) = ( 68 × 30 × 852 ) / 24

LCM(68,30,852) = 1738080 / 24

LCM(68,30,852) = 72420


Lets's calculate GCF of 736,841,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72420/1

Therefore the LCM of Fractions 68/736,30/841,852/351 is 72420

Greatest Common Factor of 736,841,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,841,351 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

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 736,841,351 . The biggest common factor number is the GCF number.
So the greatest common factor 736,841,351 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 68/736, 30/841, 852/351

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 68/736, 30/841, 852/351?

Answer: LCM of Numerators as per given numbers 68/736, 30/841, 852/351 is

LCM of Numerators i.e. for 68,30,852 is 72420

GCF of denominators i.e. for 736,841,351 is 1.

Thus, LCM of Fractions is 72420.Finally, LCM of Fractions for 68/736, 30/841, 852/351 is 72420.