Least Common Multiple of 34/170, 2157/2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/170, 2157/2978 quickly i.e. 36669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/170, 2157/2978 is 36669.

LCM(34/170, 2157/2978) = 36669

LCM of 34/170, 2157/2978

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 34/170,2157/2978

Given numbers are 34/170,2157/2978

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 34,2157

Least Common Multiple of Numerators i.e. LCM of 34,2157 is 73338.

GCF of Denominators means GCF of 170,2978 as per the given fractions.

GCF of 170,2978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,2157

LCM of Fractions 34/170,2157/2978 is 36669

Given numbers has no common factors except 1. So, there LCM is their product i.e 73338

Least Common Multiple of 34,2157 with GCF Formula

Least Common Multiple of 34,2157 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 34,2157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,2157) = 1

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

GCF(34,2157) x common factors =1 x 1 = 1

LCM(34,2157) = ( 34 × 2157 ) / 1

LCM(34,2157) = 73338 / 1

LCM(34,2157) = 73338


Lets's calculate GCF of 170,2978

2 170, 2978
85, 1489

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73338/2

Therefore the LCM of Fractions 34/170,2157/2978 is 36669

Greatest Common Factor of 170,2978 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,2978 By Matching Biggest Common Factor Method

Factors of 170

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

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

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Greatest Common Factor

We found the factors 170,2978 . The biggest common factor number is the GCF number.
So the greatest common factor 170,2978 is 2.


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 34/170, 2157/2978

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 34/170, 2157/2978?

Answer: LCM of Numerators as per given numbers 34/170, 2157/2978 is

LCM of Numerators i.e. for 34,2157 is 73338

GCF of denominators i.e. for 170,2978 is 2.

Thus, LCM of Fractions is 36669.Finally, LCM of Fractions for 34/170, 2157/2978 is 36669.