Least Common Multiple of 186/210, 868/588, 334/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/210, 868/588, 334/921 quickly i.e. 144956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/210, 868/588, 334/921 is 144956.

LCM(186/210, 868/588, 334/921) = 144956

LCM of 186/210, 868/588, 334/921

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 186/210,868/588,334/921

Given numbers are 186/210,868/588,334/921

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 186,868,334

Least Common Multiple of Numerators i.e. LCM of 186,868,334 is 434868.

GCF of Denominators means GCF of 210,588,921 as per the given fractions.

GCF of 210,588,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,868,334

LCM of Fractions 186/210,868/588,334/921 is 144956

2 186, 868, 334
31 93, 434, 167
3, 14, 167

∴ So the LCM of the given numbers is 2 x 31 x 3 x 14 x 167 = 434868

Least Common Multiple of 186,868,334 with GCF Formula

Least Common Multiple of 186,868,334 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 186,868,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,868,334) = 2

common factors(in case of two or more numbers have common factors) = 62

GCF(186,868,334) x common factors =2 x 62 = 124

LCM(186,868,334) = ( 186 × 868 × 334 ) / 124

LCM(186,868,334) = 53923632 / 124

LCM(186,868,334) = 434868


Lets's calculate GCF of 210,588,921

3 210, 588, 921
70, 196, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434868/3

Therefore the LCM of Fractions 186/210,868/588,334/921 is 144956

Greatest Common Factor of 210,588,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 210,588,921 By Matching Biggest Common Factor Method

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 210,588,921 . The biggest common factor number is the GCF number.
So the greatest common factor 210,588,921 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 186/210, 868/588, 334/921

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 186/210, 868/588, 334/921?

Answer: LCM of Numerators as per given numbers 186/210, 868/588, 334/921 is

LCM of Numerators i.e. for 186,868,334 is 434868

GCF of denominators i.e. for 210,588,921 is 3.

Thus, LCM of Fractions is 144956.Finally, LCM of Fractions for 186/210, 868/588, 334/921 is 144956.