Least Common Multiple of 870/305, 178/441, 167/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/305, 178/441, 167/146 quickly i.e. 12930810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/305, 178/441, 167/146 is 12930810.

LCM(870/305, 178/441, 167/146) = 12930810

LCM of 870/305, 178/441, 167/146

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 870/305,178/441,167/146

Given numbers are 870/305,178/441,167/146

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 870,178,167

Least Common Multiple of Numerators i.e. LCM of 870,178,167 is 12930810.

GCF of Denominators means GCF of 305,441,146 as per the given fractions.

GCF of 305,441,146 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,178,167

LCM of Fractions 870/305,178/441,167/146 is 12930810

2 870, 178, 167
435, 89, 167

∴ So the LCM of the given numbers is 2 x 435 x 89 x 167 = 12930810

Least Common Multiple of 870,178,167 with GCF Formula

Least Common Multiple of 870,178,167 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 870,178,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,178,167) = 1

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

GCF(870,178,167) x common factors =1 x 2 = 2

LCM(870,178,167) = ( 870 × 178 × 167 ) / 2

LCM(870,178,167) = 25861620 / 2

LCM(870,178,167) = 12930810


Lets's calculate GCF of 305,441,146

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12930810/1

Therefore the LCM of Fractions 870/305,178/441,167/146 is 12930810

Greatest Common Factor of 305,441,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,441,146 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 305,441,146 . The biggest common factor number is the GCF number.
So the greatest common factor 305,441,146 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 870/305, 178/441, 167/146

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 870/305, 178/441, 167/146?

Answer: LCM of Numerators as per given numbers 870/305, 178/441, 167/146 is

LCM of Numerators i.e. for 870,178,167 is 12930810

GCF of denominators i.e. for 305,441,146 is 1.

Thus, LCM of Fractions is 12930810.Finally, LCM of Fractions for 870/305, 178/441, 167/146 is 12930810.