Least Common Multiple of 186/870, 688/324, 644/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 186/870, 688/324, 644/207 quickly i.e. 3433808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 186/870, 688/324, 644/207 is 3433808.

LCM(186/870, 688/324, 644/207) = 3433808

LCM of 186/870, 688/324, 644/207

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 186/870,688/324,644/207

Given numbers are 186/870,688/324,644/207

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 186,688,644

Least Common Multiple of Numerators i.e. LCM of 186,688,644 is 10301424.

GCF of Denominators means GCF of 870,324,207 as per the given fractions.

GCF of 870,324,207 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 186,688,644

LCM of Fractions 186/870,688/324,644/207 is 3433808

2 186, 688, 644
2 93, 344, 322
93, 172, 161

∴ So the LCM of the given numbers is 2 x 2 x 93 x 172 x 161 = 10301424

Least Common Multiple of 186,688,644 with GCF Formula

Least Common Multiple of 186,688,644 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 186,688,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,688,644) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(186,688,644) x common factors =2 x 4 = 8

LCM(186,688,644) = ( 186 × 688 × 644 ) / 8

LCM(186,688,644) = 82411392 / 8

LCM(186,688,644) = 10301424


Lets's calculate GCF of 870,324,207

3 870, 324, 207
290, 108, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10301424/3

Therefore the LCM of Fractions 186/870,688/324,644/207 is 3433808

Greatest Common Factor of 870,324,207 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,324,207 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Greatest Common Factor

We found the factors 870,324,207 . The biggest common factor number is the GCF number.
So the greatest common factor 870,324,207 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 186/870, 688/324, 644/207

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 186/870, 688/324, 644/207?

Answer: LCM of Numerators as per given numbers 186/870, 688/324, 644/207 is

LCM of Numerators i.e. for 186,688,644 is 10301424

GCF of denominators i.e. for 870,324,207 is 3.

Thus, LCM of Fractions is 3433808.Finally, LCM of Fractions for 186/870, 688/324, 644/207 is 3433808.