Least Common Multiple of 706/91, 756/98, 936/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/91, 756/98, 936/833 quickly i.e. 991224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/91, 756/98, 936/833 is 991224.

LCM(706/91, 756/98, 936/833) = 991224

LCM of 706/91, 756/98, 936/833

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 706/91,756/98,936/833

Given numbers are 706/91,756/98,936/833

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 706,756,936

Least Common Multiple of Numerators i.e. LCM of 706,756,936 is 6938568.

GCF of Denominators means GCF of 91,98,833 as per the given fractions.

GCF of 91,98,833 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,756,936

LCM of Fractions 706/91,756/98,936/833 is 991224

2 706, 756, 936
2 353, 378, 468
3 353, 189, 234
3 353, 63, 78
353, 21, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 353 x 21 x 26 = 6938568

Least Common Multiple of 706,756,936 with GCF Formula

Least Common Multiple of 706,756,936 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 706,756,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,756,936) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(706,756,936) x common factors =2 x 36 = 72

LCM(706,756,936) = ( 706 × 756 × 936 ) / 72

LCM(706,756,936) = 499576896 / 72

LCM(706,756,936) = 6938568


Lets's calculate GCF of 91,98,833

7 91, 98, 833
13, 14, 119

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6938568/7

Therefore the LCM of Fractions 706/91,756/98,936/833 is 991224

Greatest Common Factor of 91,98,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,98,833 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 91,98,833 . The biggest common factor number is the GCF number.
So the greatest common factor 91,98,833 is 7.


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 706/91, 756/98, 936/833

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 706/91, 756/98, 936/833?

Answer: LCM of Numerators as per given numbers 706/91, 756/98, 936/833 is

LCM of Numerators i.e. for 706,756,936 is 6938568

GCF of denominators i.e. for 91,98,833 is 7.

Thus, LCM of Fractions is 991224.Finally, LCM of Fractions for 706/91, 756/98, 936/833 is 991224.