Least Common Multiple of 35/305, 699/37, 156/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/305, 699/37, 156/728 quickly i.e. 1272180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/305, 699/37, 156/728 is 1272180.

LCM(35/305, 699/37, 156/728) = 1272180

LCM of 35/305, 699/37, 156/728

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 35/305,699/37,156/728

Given numbers are 35/305,699/37,156/728

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 35,699,156

Least Common Multiple of Numerators i.e. LCM of 35,699,156 is 1272180.

GCF of Denominators means GCF of 305,37,728 as per the given fractions.

GCF of 305,37,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,699,156

LCM of Fractions 35/305,699/37,156/728 is 1272180

3 35, 699, 156
35, 233, 52

∴ So the LCM of the given numbers is 3 x 35 x 233 x 52 = 1272180

Least Common Multiple of 35,699,156 with GCF Formula

Least Common Multiple of 35,699,156 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 35,699,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,699,156) = 1

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

GCF(35,699,156) x common factors =1 x 3 = 3

LCM(35,699,156) = ( 35 × 699 × 156 ) / 3

LCM(35,699,156) = 3816540 / 3

LCM(35,699,156) = 1272180


Lets's calculate GCF of 305,37,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1272180/1

Therefore the LCM of Fractions 35/305,699/37,156/728 is 1272180

Greatest Common Factor of 305,37,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,37,728 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 305,37,728 . The biggest common factor number is the GCF number.
So the greatest common factor 305,37,728 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 35/305, 699/37, 156/728

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 35/305, 699/37, 156/728?

Answer: LCM of Numerators as per given numbers 35/305, 699/37, 156/728 is

LCM of Numerators i.e. for 35,699,156 is 1272180

GCF of denominators i.e. for 305,37,728 is 1.

Thus, LCM of Fractions is 1272180.Finally, LCM of Fractions for 35/305, 699/37, 156/728 is 1272180.