Least Common Multiple of 175/37, 687/65, 845/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 175/37, 687/65, 845/689 quickly i.e. 20318025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 175/37, 687/65, 845/689 is 20318025.

LCM(175/37, 687/65, 845/689) = 20318025

LCM of 175/37, 687/65, 845/689

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 175/37,687/65,845/689

Given numbers are 175/37,687/65,845/689

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 175,687,845

Least Common Multiple of Numerators i.e. LCM of 175,687,845 is 20318025.

GCF of Denominators means GCF of 37,65,689 as per the given fractions.

GCF of 37,65,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 175,687,845

LCM of Fractions 175/37,687/65,845/689 is 20318025

5 175, 687, 845
35, 687, 169

∴ So the LCM of the given numbers is 5 x 35 x 687 x 169 = 20318025

Least Common Multiple of 175,687,845 with GCF Formula

Least Common Multiple of 175,687,845 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 175,687,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,687,845) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(175,687,845) x common factors =1 x 5 = 5

LCM(175,687,845) = ( 175 × 687 × 845 ) / 5

LCM(175,687,845) = 101590125 / 5

LCM(175,687,845) = 20318025


Lets's calculate GCF of 37,65,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20318025/1

Therefore the LCM of Fractions 175/37,687/65,845/689 is 20318025

Greatest Common Factor of 37,65,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,65,689 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 37,65,689 . The biggest common factor number is the GCF number.
So the greatest common factor 37,65,689 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 175/37, 687/65, 845/689

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 175/37, 687/65, 845/689?

Answer: LCM of Numerators as per given numbers 175/37, 687/65, 845/689 is

LCM of Numerators i.e. for 175,687,845 is 20318025

GCF of denominators i.e. for 37,65,689 is 1.

Thus, LCM of Fractions is 20318025.Finally, LCM of Fractions for 175/37, 687/65, 845/689 is 20318025.