Least Common Multiple of 35/197, 42/306, 180/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/197, 42/306, 180/510 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/197, 42/306, 180/510 is 1260.

LCM(35/197, 42/306, 180/510) = 1260

LCM of 35/197, 42/306, 180/510

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 35/197,42/306,180/510

Given numbers are 35/197,42/306,180/510

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 35,42,180

Least Common Multiple of Numerators i.e. LCM of 35,42,180 is 1260.

GCF of Denominators means GCF of 197,306,510 as per the given fractions.

GCF of 197,306,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,42,180

LCM of Fractions 35/197,42/306,180/510 is 1260

2 35, 42, 180
3 35, 21, 90
5 35, 7, 30
7 7, 7, 6
1, 1, 6

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 1 x 6 = 1260

Least Common Multiple of 35,42,180 with GCF Formula

Least Common Multiple of 35,42,180 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 35,42,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,42,180) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(35,42,180) x common factors =1 x 210 = 210

LCM(35,42,180) = ( 35 × 42 × 180 ) / 210

LCM(35,42,180) = 264600 / 210

LCM(35,42,180) = 1260


Lets's calculate GCF of 197,306,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 35/197,42/306,180/510 is 1260

Greatest Common Factor of 197,306,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,306,510 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

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

Greatest Common Factor

We found the factors 197,306,510 . The biggest common factor number is the GCF number.
So the greatest common factor 197,306,510 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 35/197, 42/306, 180/510

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 35/197, 42/306, 180/510?

Answer: LCM of Numerators as per given numbers 35/197, 42/306, 180/510 is

LCM of Numerators i.e. for 35,42,180 is 1260

GCF of denominators i.e. for 197,306,510 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 35/197, 42/306, 180/510 is 1260.