Least Common Multiple of 65/825, 234/198, 950/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/825, 234/198, 950/861 quickly i.e. 37050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/825, 234/198, 950/861 is 37050.

LCM(65/825, 234/198, 950/861) = 37050

LCM of 65/825, 234/198, 950/861

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 65/825,234/198,950/861

Given numbers are 65/825,234/198,950/861

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 65,234,950

Least Common Multiple of Numerators i.e. LCM of 65,234,950 is 111150.

GCF of Denominators means GCF of 825,198,861 as per the given fractions.

GCF of 825,198,861 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,234,950

LCM of Fractions 65/825,234/198,950/861 is 37050

2 65, 234, 950
5 65, 117, 475
13 13, 117, 95
1, 9, 95

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 9 x 95 = 111150

Least Common Multiple of 65,234,950 with GCF Formula

Least Common Multiple of 65,234,950 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 65,234,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,234,950) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(65,234,950) x common factors =1 x 130 = 130

LCM(65,234,950) = ( 65 × 234 × 950 ) / 130

LCM(65,234,950) = 14449500 / 130

LCM(65,234,950) = 111150


Lets's calculate GCF of 825,198,861

3 825, 198, 861
275, 66, 287

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111150/3

Therefore the LCM of Fractions 65/825,234/198,950/861 is 37050

Greatest Common Factor of 825,198,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,198,861 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 825,198,861 . The biggest common factor number is the GCF number.
So the greatest common factor 825,198,861 is 3.


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 65/825, 234/198, 950/861

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 65/825, 234/198, 950/861?

Answer: LCM of Numerators as per given numbers 65/825, 234/198, 950/861 is

LCM of Numerators i.e. for 65,234,950 is 111150

GCF of denominators i.e. for 825,198,861 is 3.

Thus, LCM of Fractions is 37050.Finally, LCM of Fractions for 65/825, 234/198, 950/861 is 37050.