Least Common Multiple of 10/869, 825/537, 273/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/869, 825/537, 273/433 quickly i.e. 150150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/869, 825/537, 273/433 is 150150.

LCM(10/869, 825/537, 273/433) = 150150

LCM of 10/869, 825/537, 273/433

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 10/869,825/537,273/433

Given numbers are 10/869,825/537,273/433

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 10,825,273

Least Common Multiple of Numerators i.e. LCM of 10,825,273 is 150150.

GCF of Denominators means GCF of 869,537,433 as per the given fractions.

GCF of 869,537,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,825,273

LCM of Fractions 10/869,825/537,273/433 is 150150

3 10, 825, 273
5 10, 275, 91
2, 55, 91

∴ So the LCM of the given numbers is 3 x 5 x 2 x 55 x 91 = 150150

Least Common Multiple of 10,825,273 with GCF Formula

Least Common Multiple of 10,825,273 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 10,825,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,825,273) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(10,825,273) x common factors =1 x 15 = 15

LCM(10,825,273) = ( 10 × 825 × 273 ) / 15

LCM(10,825,273) = 2252250 / 15

LCM(10,825,273) = 150150


Lets's calculate GCF of 869,537,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150150/1

Therefore the LCM of Fractions 10/869,825/537,273/433 is 150150

Greatest Common Factor of 869,537,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,537,433 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 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 869,537,433 . The biggest common factor number is the GCF number.
So the greatest common factor 869,537,433 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 10/869, 825/537, 273/433

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 10/869, 825/537, 273/433?

Answer: LCM of Numerators as per given numbers 10/869, 825/537, 273/433 is

LCM of Numerators i.e. for 10,825,273 is 150150

GCF of denominators i.e. for 869,537,433 is 1.

Thus, LCM of Fractions is 150150.Finally, LCM of Fractions for 10/869, 825/537, 273/433 is 150150.