Least Common Multiple of 3/168, 61/466, 30/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/168, 61/466, 30/570 quickly i.e. 915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/168, 61/466, 30/570 is 915.

LCM(3/168, 61/466, 30/570) = 915

LCM of 3/168, 61/466, 30/570

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 3/168,61/466,30/570

Given numbers are 3/168,61/466,30/570

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 3,61,30

Least Common Multiple of Numerators i.e. LCM of 3,61,30 is 1830.

GCF of Denominators means GCF of 168,466,570 as per the given fractions.

GCF of 168,466,570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,61,30

LCM of Fractions 3/168,61/466,30/570 is 915

3 3, 61, 30
1, 61, 10

∴ So the LCM of the given numbers is 3 x 1 x 61 x 10 = 1830

Least Common Multiple of 3,61,30 with GCF Formula

Least Common Multiple of 3,61,30 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 3,61,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,61,30) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,61,30) x common factors =1 x 3 = 3

LCM(3,61,30) = ( 3 × 61 × 30 ) / 3

LCM(3,61,30) = 5490 / 3

LCM(3,61,30) = 1830


Lets's calculate GCF of 168,466,570

2 168, 466, 570
84, 233, 285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830/2

Therefore the LCM of Fractions 3/168,61/466,30/570 is 915

Greatest Common Factor of 168,466,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,466,570 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 168,466,570 . The biggest common factor number is the GCF number.
So the greatest common factor 168,466,570 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 3/168, 61/466, 30/570

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 3/168, 61/466, 30/570?

Answer: LCM of Numerators as per given numbers 3/168, 61/466, 30/570 is

LCM of Numerators i.e. for 3,61,30 is 1830

GCF of denominators i.e. for 168,466,570 is 2.

Thus, LCM of Fractions is 915.Finally, LCM of Fractions for 3/168, 61/466, 30/570 is 915.