Least Common Multiple of 36/673, 531/947, 196/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/673, 531/947, 196/343 quickly i.e. 104076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/673, 531/947, 196/343 is 104076.

LCM(36/673, 531/947, 196/343) = 104076

LCM of 36/673, 531/947, 196/343

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 36/673,531/947,196/343

Given numbers are 36/673,531/947,196/343

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 36,531,196

Least Common Multiple of Numerators i.e. LCM of 36,531,196 is 104076.

GCF of Denominators means GCF of 673,947,343 as per the given fractions.

GCF of 673,947,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,531,196

LCM of Fractions 36/673,531/947,196/343 is 104076

2 36, 531, 196
2 18, 531, 98
3 9, 531, 49
3 3, 177, 49
1, 59, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 59 x 49 = 104076

Least Common Multiple of 36,531,196 with GCF Formula

Least Common Multiple of 36,531,196 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 36,531,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,531,196) = 1

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

GCF(36,531,196) x common factors =1 x 36 = 36

LCM(36,531,196) = ( 36 × 531 × 196 ) / 36

LCM(36,531,196) = 3746736 / 36

LCM(36,531,196) = 104076


Lets's calculate GCF of 673,947,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104076/1

Therefore the LCM of Fractions 36/673,531/947,196/343 is 104076

Greatest Common Factor of 673,947,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,947,343 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 673,947,343 . The biggest common factor number is the GCF number.
So the greatest common factor 673,947,343 is 1.


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 36/673, 531/947, 196/343

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 36/673, 531/947, 196/343?

Answer: LCM of Numerators as per given numbers 36/673, 531/947, 196/343 is

LCM of Numerators i.e. for 36,531,196 is 104076

GCF of denominators i.e. for 673,947,343 is 1.

Thus, LCM of Fractions is 104076.Finally, LCM of Fractions for 36/673, 531/947, 196/343 is 104076.