Least Common Multiple of 115/528, 8765/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/528, 8765/344 quickly i.e. 201595/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/528, 8765/344 is 201595/8.

LCM(115/528, 8765/344) = 201595/8

LCM of 115/528, 8765/344

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 115/528,8765/344

Given numbers are 115/528,8765/344

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 115,8765

Least Common Multiple of Numerators i.e. LCM of 115,8765 is 201595.

GCF of Denominators means GCF of 528,344 as per the given fractions.

GCF of 528,344 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,8765

LCM of Fractions 115/528,8765/344 is 201595/8

5 115, 8765
23, 1753

∴ So the LCM of the given numbers is 5 x 23 x 1753 = 201595

Least Common Multiple of 115,8765 with GCF Formula

Least Common Multiple of 115,8765 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 115,8765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,8765) = 5

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

GCF(115,8765) x common factors =5 x 1 = 5

LCM(115,8765) = ( 115 × 8765 ) / 5

LCM(115,8765) = 1007975 / 5

LCM(115,8765) = 201595


Lets's calculate GCF of 528,344

2 528, 344
2 264, 172
2 132, 86
66, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201595/8

Therefore the LCM of Fractions 115/528,8765/344 is 201595/8

Greatest Common Factor of 528,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,344 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 528,344 . The biggest common factor number is the GCF number.
So the greatest common factor 528,344 is 8.


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 115/528, 8765/344

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 115/528, 8765/344?

Answer: LCM of Numerators as per given numbers 115/528, 8765/344 is

LCM of Numerators i.e. for 115,8765 is 201595

GCF of denominators i.e. for 528,344 is 8.

Thus, LCM of Fractions is 201595/8.Finally, LCM of Fractions for 115/528, 8765/344 is 201595/8.