Least Common Multiple of 860/495, 173/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 860/495, 173/575 quickly i.e. 29756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 860/495, 173/575 is 29756.

LCM(860/495, 173/575) = 29756

LCM of 860/495, 173/575

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 860/495,173/575

Given numbers are 860/495,173/575

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 860,173

Least Common Multiple of Numerators i.e. LCM of 860,173 is 148780.

GCF of Denominators means GCF of 495,575 as per the given fractions.

GCF of 495,575 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 860,173

LCM of Fractions 860/495,173/575 is 29756

Given numbers has no common factors except 1. So, there LCM is their product i.e 148780

Least Common Multiple of 860,173 with GCF Formula

Least Common Multiple of 860,173 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 860,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,173) = 1

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

GCF(860,173) x common factors =1 x 1 = 1

LCM(860,173) = ( 860 × 173 ) / 1

LCM(860,173) = 148780 / 1

LCM(860,173) = 148780


Lets's calculate GCF of 495,575

5 495, 575
99, 115

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148780/5

Therefore the LCM of Fractions 860/495,173/575 is 29756

Greatest Common Factor of 495,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,575 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 495,575 . The biggest common factor number is the GCF number.
So the greatest common factor 495,575 is 5.


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 860/495, 173/575

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 860/495, 173/575?

Answer: LCM of Numerators as per given numbers 860/495, 173/575 is

LCM of Numerators i.e. for 860,173 is 148780

GCF of denominators i.e. for 495,575 is 5.

Thus, LCM of Fractions is 29756.Finally, LCM of Fractions for 860/495, 173/575 is 29756.