Least Common Multiple of 30/617, 48/457, 357/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/617, 48/457, 357/970 quickly i.e. 28560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/617, 48/457, 357/970 is 28560.

LCM(30/617, 48/457, 357/970) = 28560

LCM of 30/617, 48/457, 357/970

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 30/617,48/457,357/970

Given numbers are 30/617,48/457,357/970

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 30,48,357

Least Common Multiple of Numerators i.e. LCM of 30,48,357 is 28560.

GCF of Denominators means GCF of 617,457,970 as per the given fractions.

GCF of 617,457,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,48,357

LCM of Fractions 30/617,48/457,357/970 is 28560

2 30, 48, 357
3 15, 24, 357
5, 8, 119

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 119 = 28560

Least Common Multiple of 30,48,357 with GCF Formula

Least Common Multiple of 30,48,357 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 30,48,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,48,357) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(30,48,357) x common factors =3 x 6 = 18

LCM(30,48,357) = ( 30 × 48 × 357 ) / 18

LCM(30,48,357) = 514080 / 18

LCM(30,48,357) = 28560


Lets's calculate GCF of 617,457,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28560/1

Therefore the LCM of Fractions 30/617,48/457,357/970 is 28560

Greatest Common Factor of 617,457,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,457,970 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 617,457,970 . The biggest common factor number is the GCF number.
So the greatest common factor 617,457,970 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 30/617, 48/457, 357/970

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 30/617, 48/457, 357/970?

Answer: LCM of Numerators as per given numbers 30/617, 48/457, 357/970 is

LCM of Numerators i.e. for 30,48,357 is 28560

GCF of denominators i.e. for 617,457,970 is 1.

Thus, LCM of Fractions is 28560.Finally, LCM of Fractions for 30/617, 48/457, 357/970 is 28560.