Least Common Multiple of 897/869, 244/749, 900/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/869, 244/749, 900/166 quickly i.e. 16415100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/869, 244/749, 900/166 is 16415100.

LCM(897/869, 244/749, 900/166) = 16415100

LCM of 897/869, 244/749, 900/166

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 897/869,244/749,900/166

Given numbers are 897/869,244/749,900/166

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 897,244,900

Least Common Multiple of Numerators i.e. LCM of 897,244,900 is 16415100.

GCF of Denominators means GCF of 869,749,166 as per the given fractions.

GCF of 869,749,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,244,900

LCM of Fractions 897/869,244/749,900/166 is 16415100

2 897, 244, 900
2 897, 122, 450
3 897, 61, 225
299, 61, 75

∴ So the LCM of the given numbers is 2 x 2 x 3 x 299 x 61 x 75 = 16415100

Least Common Multiple of 897,244,900 with GCF Formula

Least Common Multiple of 897,244,900 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 897,244,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,244,900) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(897,244,900) x common factors =1 x 12 = 12

LCM(897,244,900) = ( 897 × 244 × 900 ) / 12

LCM(897,244,900) = 196981200 / 12

LCM(897,244,900) = 16415100


Lets's calculate GCF of 869,749,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16415100/1

Therefore the LCM of Fractions 897/869,244/749,900/166 is 16415100

Greatest Common Factor of 869,749,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,749,166 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 869,749,166 . The biggest common factor number is the GCF number.
So the greatest common factor 869,749,166 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 897/869, 244/749, 900/166

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 897/869, 244/749, 900/166?

Answer: LCM of Numerators as per given numbers 897/869, 244/749, 900/166 is

LCM of Numerators i.e. for 897,244,900 is 16415100

GCF of denominators i.e. for 869,749,166 is 1.

Thus, LCM of Fractions is 16415100.Finally, LCM of Fractions for 897/869, 244/749, 900/166 is 16415100.