Least Common Multiple of 530/28, 859/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 530/28, 859/917 quickly i.e. 455270/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/28, 859/917 is 455270/7.

LCM(530/28, 859/917) = 455270/7

LCM of 530/28, 859/917

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 530/28,859/917

Given numbers are 530/28,859/917

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 530,859

Least Common Multiple of Numerators i.e. LCM of 530,859 is 455270.

GCF of Denominators means GCF of 28,917 as per the given fractions.

GCF of 28,917 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,859

LCM of Fractions 530/28,859/917 is 455270/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 455270

Least Common Multiple of 530,859 with GCF Formula

Least Common Multiple of 530,859 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 530,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,859) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(530,859) x common factors =1 x 1 = 1

LCM(530,859) = ( 530 × 859 ) / 1

LCM(530,859) = 455270 / 1

LCM(530,859) = 455270


Lets's calculate GCF of 28,917

7 28, 917
4, 131

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455270/7

Therefore the LCM of Fractions 530/28,859/917 is 455270/7

Greatest Common Factor of 28,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,917 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 28,917 . The biggest common factor number is the GCF number.
So the greatest common factor 28,917 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 530/28, 859/917

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 530/28, 859/917?

Answer: LCM of Numerators as per given numbers 530/28, 859/917 is

LCM of Numerators i.e. for 530,859 is 455270

GCF of denominators i.e. for 28,917 is 7.

Thus, LCM of Fractions is 455270/7.Finally, LCM of Fractions for 530/28, 859/917 is 455270/7.