Least Common Multiple of 35/30, 81/193, 378/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/30, 81/193, 378/712 quickly i.e. 5670 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, 81/193, 378/712 is 5670.

LCM(35/30, 81/193, 378/712) = 5670

LCM of 35/30, 81/193, 378/712

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 35/30,81/193,378/712

Given numbers are 35/30,81/193,378/712

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 35,81,378

Least Common Multiple of Numerators i.e. LCM of 35,81,378 is 5670.

GCF of Denominators means GCF of 30,193,712 as per the given fractions.

GCF of 30,193,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,81,378

LCM of Fractions 35/30,81/193,378/712 is 5670

3 35, 81, 378
3 35, 27, 126
3 35, 9, 42
7 35, 3, 14
5, 3, 2

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 5 x 3 x 2 = 5670

Least Common Multiple of 35,81,378 with GCF Formula

Least Common Multiple of 35,81,378 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 35,81,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,81,378) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(35,81,378) x common factors =1 x 189 = 189

LCM(35,81,378) = ( 35 × 81 × 378 ) / 189

LCM(35,81,378) = 1071630 / 189

LCM(35,81,378) = 5670


Lets's calculate GCF of 30,193,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5670/1

Therefore the LCM of Fractions 35/30,81/193,378/712 is 5670

Greatest Common Factor of 30,193,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,193,712 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 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 30,193,712 . The biggest common factor number is the GCF number.
So the greatest common factor 30,193,712 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, 81/193, 378/712

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, 81/193, 378/712?

Answer: LCM of Numerators as per given numbers 35/30, 81/193, 378/712 is

LCM of Numerators i.e. for 35,81,378 is 5670

GCF of denominators i.e. for 30,193,712 is 1.

Thus, LCM of Fractions is 5670.Finally, LCM of Fractions for 35/30, 81/193, 378/712 is 5670.