Least Common Multiple of 94/735, 12/798, 834/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/735, 12/798, 834/222 quickly i.e. 26132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/735, 12/798, 834/222 is 26132.

LCM(94/735, 12/798, 834/222) = 26132

LCM of 94/735, 12/798, 834/222

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 94/735,12/798,834/222

Given numbers are 94/735,12/798,834/222

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 94,12,834

Least Common Multiple of Numerators i.e. LCM of 94,12,834 is 78396.

GCF of Denominators means GCF of 735,798,222 as per the given fractions.

GCF of 735,798,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,12,834

LCM of Fractions 94/735,12/798,834/222 is 26132

2 94, 12, 834
3 47, 6, 417
47, 2, 139

∴ So the LCM of the given numbers is 2 x 3 x 47 x 2 x 139 = 78396

Least Common Multiple of 94,12,834 with GCF Formula

Least Common Multiple of 94,12,834 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 94,12,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,12,834) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(94,12,834) x common factors =2 x 6 = 12

LCM(94,12,834) = ( 94 × 12 × 834 ) / 12

LCM(94,12,834) = 940752 / 12

LCM(94,12,834) = 78396


Lets's calculate GCF of 735,798,222

3 735, 798, 222
245, 266, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78396/3

Therefore the LCM of Fractions 94/735,12/798,834/222 is 26132

Greatest Common Factor of 735,798,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,798,222 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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 735,798,222 . The biggest common factor number is the GCF number.
So the greatest common factor 735,798,222 is 3.


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 94/735, 12/798, 834/222

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 94/735, 12/798, 834/222?

Answer: LCM of Numerators as per given numbers 94/735, 12/798, 834/222 is

LCM of Numerators i.e. for 94,12,834 is 78396

GCF of denominators i.e. for 735,798,222 is 3.

Thus, LCM of Fractions is 26132.Finally, LCM of Fractions for 94/735, 12/798, 834/222 is 26132.