Least Common Multiple of 22/704, 75/706, 756/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/704, 75/706, 756/684 quickly i.e. 103950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/704, 75/706, 756/684 is 103950.

LCM(22/704, 75/706, 756/684) = 103950

LCM of 22/704, 75/706, 756/684

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 22/704,75/706,756/684

Given numbers are 22/704,75/706,756/684

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 22,75,756

Least Common Multiple of Numerators i.e. LCM of 22,75,756 is 207900.

GCF of Denominators means GCF of 704,706,684 as per the given fractions.

GCF of 704,706,684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,75,756

LCM of Fractions 22/704,75/706,756/684 is 103950

2 22, 75, 756
3 11, 75, 378
11, 25, 126

∴ So the LCM of the given numbers is 2 x 3 x 11 x 25 x 126 = 207900

Least Common Multiple of 22,75,756 with GCF Formula

Least Common Multiple of 22,75,756 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 22,75,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,75,756) = 1

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

GCF(22,75,756) x common factors =1 x 6 = 6

LCM(22,75,756) = ( 22 × 75 × 756 ) / 6

LCM(22,75,756) = 1247400 / 6

LCM(22,75,756) = 207900


Lets's calculate GCF of 704,706,684

2 704, 706, 684
352, 353, 342

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207900/2

Therefore the LCM of Fractions 22/704,75/706,756/684 is 103950

Greatest Common Factor of 704,706,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,706,684 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 704,706,684 . The biggest common factor number is the GCF number.
So the greatest common factor 704,706,684 is 2.


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 22/704, 75/706, 756/684

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 22/704, 75/706, 756/684?

Answer: LCM of Numerators as per given numbers 22/704, 75/706, 756/684 is

LCM of Numerators i.e. for 22,75,756 is 207900

GCF of denominators i.e. for 704,706,684 is 2.

Thus, LCM of Fractions is 103950.Finally, LCM of Fractions for 22/704, 75/706, 756/684 is 103950.