Least Common Multiple of 35/30, 13/70, 52/55, 19/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/30, 13/70, 52/55, 19/204 quickly i.e. 34580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/30, 13/70, 52/55, 19/204 is 34580.

LCM(35/30, 13/70, 52/55, 19/204) = 34580

LCM of 35/30, 13/70, 52/55, 19/204

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 35/30,13/70,52/55,19/204

Given numbers are 35/30,13/70,52/55,19/204

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 35,13,52,19

Least Common Multiple of Numerators i.e. LCM of 35,13,52,19 is 34580.

GCF of Denominators means GCF of 30,70,55,204 as per the given fractions.

GCF of 30,70,55,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,13,52,19

LCM of Fractions 35/30,13/70,52/55,19/204 is 34580

13 35, 13, 52, 19
35, 1, 4, 19

∴ So the LCM of the given numbers is 13 x 35 x 1 x 4 x 19 = 34580

Least Common Multiple of 35,13,52,19 with GCF Formula

Least Common Multiple of 35,13,52,19 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 35,13,52,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,13,52,19) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(35,13,52,19) x common factors =1 x 13 = 13

LCM(35,13,52,19) = ( 35 × 13 × 52 × 19 ) / 13

LCM(35,13,52,19) = 449540 / 13

LCM(35,13,52,19) = 34580


Lets's calculate GCF of 30,70,55,204

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34580/1

Therefore the LCM of Fractions 35/30,13/70,52/55,19/204 is 34580

Greatest Common Factor of 30,70,55,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,70,55,204 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 30,70,55,204 . The biggest common factor number is the GCF number.
So the greatest common factor 30,70,55,204 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 35/30, 13/70, 52/55, 19/204

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 35/30, 13/70, 52/55, 19/204?

Answer: LCM of Numerators as per given numbers 35/30, 13/70, 52/55, 19/204 is

LCM of Numerators i.e. for 35,13,52,19 is 34580

GCF of denominators i.e. for 30,70,55,204 is 1.

Thus, LCM of Fractions is 34580.Finally, LCM of Fractions for 35/30, 13/70, 52/55, 19/204 is 34580.