Least Common Multiple of 30/510, 654/364, 130/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/510, 654/364, 130/190 quickly i.e. 21255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/510, 654/364, 130/190 is 21255.

LCM(30/510, 654/364, 130/190) = 21255

LCM of 30/510, 654/364, 130/190

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 30/510,654/364,130/190

Given numbers are 30/510,654/364,130/190

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 30,654,130

Least Common Multiple of Numerators i.e. LCM of 30,654,130 is 42510.

GCF of Denominators means GCF of 510,364,190 as per the given fractions.

GCF of 510,364,190 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,654,130

LCM of Fractions 30/510,654/364,130/190 is 21255

2 30, 654, 130
3 15, 327, 65
5 5, 109, 65
1, 109, 13

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 109 x 13 = 42510

Least Common Multiple of 30,654,130 with GCF Formula

Least Common Multiple of 30,654,130 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 30,654,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,654,130) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(30,654,130) x common factors =2 x 30 = 60

LCM(30,654,130) = ( 30 × 654 × 130 ) / 60

LCM(30,654,130) = 2550600 / 60

LCM(30,654,130) = 42510


Lets's calculate GCF of 510,364,190

2 510, 364, 190
255, 182, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42510/2

Therefore the LCM of Fractions 30/510,654/364,130/190 is 21255

Greatest Common Factor of 510,364,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,364,190 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 510,364,190 . The biggest common factor number is the GCF number.
So the greatest common factor 510,364,190 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 30/510, 654/364, 130/190

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 30/510, 654/364, 130/190?

Answer: LCM of Numerators as per given numbers 30/510, 654/364, 130/190 is

LCM of Numerators i.e. for 30,654,130 is 42510

GCF of denominators i.e. for 510,364,190 is 2.

Thus, LCM of Fractions is 21255.Finally, LCM of Fractions for 30/510, 654/364, 130/190 is 21255.