Least Common Multiple of 15/57, 614/85, 735/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/57, 614/85, 735/297 quickly i.e. 451290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/57, 614/85, 735/297 is 451290.

LCM(15/57, 614/85, 735/297) = 451290

LCM of 15/57, 614/85, 735/297

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 15/57,614/85,735/297

Given numbers are 15/57,614/85,735/297

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 15,614,735

Least Common Multiple of Numerators i.e. LCM of 15,614,735 is 451290.

GCF of Denominators means GCF of 57,85,297 as per the given fractions.

GCF of 57,85,297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,614,735

LCM of Fractions 15/57,614/85,735/297 is 451290

3 15, 614, 735
5 5, 614, 245
1, 614, 49

∴ So the LCM of the given numbers is 3 x 5 x 1 x 614 x 49 = 451290

Least Common Multiple of 15,614,735 with GCF Formula

Least Common Multiple of 15,614,735 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 15,614,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,614,735) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(15,614,735) x common factors =1 x 15 = 15

LCM(15,614,735) = ( 15 × 614 × 735 ) / 15

LCM(15,614,735) = 6769350 / 15

LCM(15,614,735) = 451290


Lets's calculate GCF of 57,85,297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451290/1

Therefore the LCM of Fractions 15/57,614/85,735/297 is 451290

Greatest Common Factor of 57,85,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,85,297 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 57,85,297 . The biggest common factor number is the GCF number.
So the greatest common factor 57,85,297 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 15/57, 614/85, 735/297

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 15/57, 614/85, 735/297?

Answer: LCM of Numerators as per given numbers 15/57, 614/85, 735/297 is

LCM of Numerators i.e. for 15,614,735 is 451290

GCF of denominators i.e. for 57,85,297 is 1.

Thus, LCM of Fractions is 451290.Finally, LCM of Fractions for 15/57, 614/85, 735/297 is 451290.