Least Common Multiple of 47/634, 702/756, 176/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/634, 702/756, 176/286 quickly i.e. 1451736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/634, 702/756, 176/286 is 1451736.

LCM(47/634, 702/756, 176/286) = 1451736

LCM of 47/634, 702/756, 176/286

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 47/634,702/756,176/286

Given numbers are 47/634,702/756,176/286

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 47,702,176

Least Common Multiple of Numerators i.e. LCM of 47,702,176 is 2903472.

GCF of Denominators means GCF of 634,756,286 as per the given fractions.

GCF of 634,756,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,702,176

LCM of Fractions 47/634,702/756,176/286 is 1451736

2 47, 702, 176
47, 351, 88

∴ So the LCM of the given numbers is 2 x 47 x 351 x 88 = 2903472

Least Common Multiple of 47,702,176 with GCF Formula

Least Common Multiple of 47,702,176 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 47,702,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,702,176) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,702,176) x common factors =1 x 2 = 2

LCM(47,702,176) = ( 47 × 702 × 176 ) / 2

LCM(47,702,176) = 5806944 / 2

LCM(47,702,176) = 2903472


Lets's calculate GCF of 634,756,286

2 634, 756, 286
317, 378, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2903472/2

Therefore the LCM of Fractions 47/634,702/756,176/286 is 1451736

Greatest Common Factor of 634,756,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,756,286 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 634,756,286 . The biggest common factor number is the GCF number.
So the greatest common factor 634,756,286 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 47/634, 702/756, 176/286

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 47/634, 702/756, 176/286?

Answer: LCM of Numerators as per given numbers 47/634, 702/756, 176/286 is

LCM of Numerators i.e. for 47,702,176 is 2903472

GCF of denominators i.e. for 634,756,286 is 2.

Thus, LCM of Fractions is 1451736.Finally, LCM of Fractions for 47/634, 702/756, 176/286 is 1451736.