Least Common Multiple of 69/907, 7500/1793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/907, 7500/1793 quickly i.e. 172500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/907, 7500/1793 is 172500.

LCM(69/907, 7500/1793) = 172500

LCM of 69/907, 7500/1793

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 69/907,7500/1793

Given numbers are 69/907,7500/1793

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 69,7500

Least Common Multiple of Numerators i.e. LCM of 69,7500 is 172500.

GCF of Denominators means GCF of 907,1793 as per the given fractions.

GCF of 907,1793 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,7500

LCM of Fractions 69/907,7500/1793 is 172500

3 69, 7500
23, 2500

∴ So the LCM of the given numbers is 3 x 23 x 2500 = 172500

Least Common Multiple of 69,7500 with GCF Formula

Least Common Multiple of 69,7500 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 69,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,7500) = 3

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

GCF(69,7500) x common factors =3 x 1 = 3

LCM(69,7500) = ( 69 × 7500 ) / 3

LCM(69,7500) = 517500 / 3

LCM(69,7500) = 172500


Lets's calculate GCF of 907,1793

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172500/1

Therefore the LCM of Fractions 69/907,7500/1793 is 172500

Greatest Common Factor of 907,1793 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,1793 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 1793

List of positive integer factors of 1793 that divides 1793 without a remainder.

1,11,163,1793

Greatest Common Factor

We found the factors 907,1793 . The biggest common factor number is the GCF number.
So the greatest common factor 907,1793 is 1.


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 69/907, 7500/1793

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 69/907, 7500/1793?

Answer: LCM of Numerators as per given numbers 69/907, 7500/1793 is

LCM of Numerators i.e. for 69,7500 is 172500

GCF of denominators i.e. for 907,1793 is 1.

Thus, LCM of Fractions is 172500.Finally, LCM of Fractions for 69/907, 7500/1793 is 172500.