Least Common Multiple of 870/86, 307/83, 164/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/86, 307/83, 164/292 quickly i.e. 21901380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/86, 307/83, 164/292 is 21901380.

LCM(870/86, 307/83, 164/292) = 21901380

LCM of 870/86, 307/83, 164/292

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 870/86,307/83,164/292

Given numbers are 870/86,307/83,164/292

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 870,307,164

Least Common Multiple of Numerators i.e. LCM of 870,307,164 is 21901380.

GCF of Denominators means GCF of 86,83,292 as per the given fractions.

GCF of 86,83,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,307,164

LCM of Fractions 870/86,307/83,164/292 is 21901380

2 870, 307, 164
435, 307, 82

∴ So the LCM of the given numbers is 2 x 435 x 307 x 82 = 21901380

Least Common Multiple of 870,307,164 with GCF Formula

Least Common Multiple of 870,307,164 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 870,307,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,307,164) = 1

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

GCF(870,307,164) x common factors =1 x 2 = 2

LCM(870,307,164) = ( 870 × 307 × 164 ) / 2

LCM(870,307,164) = 43802760 / 2

LCM(870,307,164) = 21901380


Lets's calculate GCF of 86,83,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21901380/1

Therefore the LCM of Fractions 870/86,307/83,164/292 is 21901380

Greatest Common Factor of 86,83,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,83,292 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 86,83,292 . The biggest common factor number is the GCF number.
So the greatest common factor 86,83,292 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 870/86, 307/83, 164/292

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 870/86, 307/83, 164/292?

Answer: LCM of Numerators as per given numbers 870/86, 307/83, 164/292 is

LCM of Numerators i.e. for 870,307,164 is 21901380

GCF of denominators i.e. for 86,83,292 is 1.

Thus, LCM of Fractions is 21901380.Finally, LCM of Fractions for 870/86, 307/83, 164/292 is 21901380.