Least Common Multiple of 8612/370, 2922/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8612/370, 2922/170 quickly i.e. 12582132/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8612/370, 2922/170 is 12582132/10.

LCM(8612/370, 2922/170) = 12582132/10

LCM of 8612/370, 2922/170

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 8612/370,2922/170

Given numbers are 8612/370,2922/170

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 8612,2922

Least Common Multiple of Numerators i.e. LCM of 8612,2922 is 12582132.

GCF of Denominators means GCF of 370,170 as per the given fractions.

GCF of 370,170 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8612,2922

LCM of Fractions 8612/370,2922/170 is 12582132/10

2 8612, 2922
4306, 1461

∴ So the LCM of the given numbers is 2 x 4306 x 1461 = 12582132

Least Common Multiple of 8612,2922 with GCF Formula

Least Common Multiple of 8612,2922 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 8612,2922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8612,2922) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8612,2922) x common factors =2 x 1 = 2

LCM(8612,2922) = ( 8612 × 2922 ) / 2

LCM(8612,2922) = 25164264 / 2

LCM(8612,2922) = 12582132


Lets's calculate GCF of 370,170

2 370, 170
5 185, 85
37, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12582132/10

Therefore the LCM of Fractions 8612/370,2922/170 is 12582132/10

Greatest Common Factor of 370,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,170 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 370,170 . The biggest common factor number is the GCF number.
So the greatest common factor 370,170 is 10.


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 8612/370, 2922/170

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 8612/370, 2922/170?

Answer: LCM of Numerators as per given numbers 8612/370, 2922/170 is

LCM of Numerators i.e. for 8612,2922 is 12582132

GCF of denominators i.e. for 370,170 is 10.

Thus, LCM of Fractions is 12582132/10.Finally, LCM of Fractions for 8612/370, 2922/170 is 12582132/10.