Least Common Multiple of 825/217, 1494/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/217, 1494/850 quickly i.e. 410850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/217, 1494/850 is 410850.

LCM(825/217, 1494/850) = 410850

LCM of 825/217, 1494/850

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 825/217,1494/850

Given numbers are 825/217,1494/850

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 825,1494

Least Common Multiple of Numerators i.e. LCM of 825,1494 is 410850.

GCF of Denominators means GCF of 217,850 as per the given fractions.

GCF of 217,850 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,1494

LCM of Fractions 825/217,1494/850 is 410850

3 825, 1494
275, 498

∴ So the LCM of the given numbers is 3 x 275 x 498 = 410850

Least Common Multiple of 825,1494 with GCF Formula

Least Common Multiple of 825,1494 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 825,1494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,1494) = 3

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

GCF(825,1494) x common factors =3 x 1 = 3

LCM(825,1494) = ( 825 × 1494 ) / 3

LCM(825,1494) = 1232550 / 3

LCM(825,1494) = 410850


Lets's calculate GCF of 217,850

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 410850/1

Therefore the LCM of Fractions 825/217,1494/850 is 410850

Greatest Common Factor of 217,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,850 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 217,850 . The biggest common factor number is the GCF number.
So the greatest common factor 217,850 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 825/217, 1494/850

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 825/217, 1494/850?

Answer: LCM of Numerators as per given numbers 825/217, 1494/850 is

LCM of Numerators i.e. for 825,1494 is 410850

GCF of denominators i.e. for 217,850 is 1.

Thus, LCM of Fractions is 410850.Finally, LCM of Fractions for 825/217, 1494/850 is 410850.