Least Common Multiple of 94/170, 36/483, 564/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/170, 36/483, 564/916 quickly i.e. 1692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/170, 36/483, 564/916 is 1692.

LCM(94/170, 36/483, 564/916) = 1692

LCM of 94/170, 36/483, 564/916

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 94/170,36/483,564/916

Given numbers are 94/170,36/483,564/916

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 94,36,564

Least Common Multiple of Numerators i.e. LCM of 94,36,564 is 1692.

GCF of Denominators means GCF of 170,483,916 as per the given fractions.

GCF of 170,483,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,36,564

LCM of Fractions 94/170,36/483,564/916 is 1692

2 94, 36, 564
2 47, 18, 282
3 47, 9, 141
47 47, 3, 47
1, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 1 x 3 x 1 = 1692

Least Common Multiple of 94,36,564 with GCF Formula

Least Common Multiple of 94,36,564 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 94,36,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,36,564) = 2

common factors(in case of two or more numbers have common factors) = 564

GCF(94,36,564) x common factors =2 x 564 = 1128

LCM(94,36,564) = ( 94 × 36 × 564 ) / 1128

LCM(94,36,564) = 1908576 / 1128

LCM(94,36,564) = 1692


Lets's calculate GCF of 170,483,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1692/1

Therefore the LCM of Fractions 94/170,36/483,564/916 is 1692

Greatest Common Factor of 170,483,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,483,916 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 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 170,483,916 . The biggest common factor number is the GCF number.
So the greatest common factor 170,483,916 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 94/170, 36/483, 564/916

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 94/170, 36/483, 564/916?

Answer: LCM of Numerators as per given numbers 94/170, 36/483, 564/916 is

LCM of Numerators i.e. for 94,36,564 is 1692

GCF of denominators i.e. for 170,483,916 is 1.

Thus, LCM of Fractions is 1692.Finally, LCM of Fractions for 94/170, 36/483, 564/916 is 1692.