Least Common Multiple of 10/273, 218/475, 284/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/273, 218/475, 284/847 quickly i.e. 154780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/273, 218/475, 284/847 is 154780.

LCM(10/273, 218/475, 284/847) = 154780

LCM of 10/273, 218/475, 284/847

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 10/273,218/475,284/847

Given numbers are 10/273,218/475,284/847

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 10,218,284

Least Common Multiple of Numerators i.e. LCM of 10,218,284 is 154780.

GCF of Denominators means GCF of 273,475,847 as per the given fractions.

GCF of 273,475,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,218,284

LCM of Fractions 10/273,218/475,284/847 is 154780

2 10, 218, 284
5, 109, 142

∴ So the LCM of the given numbers is 2 x 5 x 109 x 142 = 154780

Least Common Multiple of 10,218,284 with GCF Formula

Least Common Multiple of 10,218,284 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 10,218,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,218,284) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,218,284) x common factors =2 x 2 = 4

LCM(10,218,284) = ( 10 × 218 × 284 ) / 4

LCM(10,218,284) = 619120 / 4

LCM(10,218,284) = 154780


Lets's calculate GCF of 273,475,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154780/1

Therefore the LCM of Fractions 10/273,218/475,284/847 is 154780

Greatest Common Factor of 273,475,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,475,847 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 273,475,847 . The biggest common factor number is the GCF number.
So the greatest common factor 273,475,847 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 10/273, 218/475, 284/847

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 10/273, 218/475, 284/847?

Answer: LCM of Numerators as per given numbers 10/273, 218/475, 284/847 is

LCM of Numerators i.e. for 10,218,284 is 154780

GCF of denominators i.e. for 273,475,847 is 1.

Thus, LCM of Fractions is 154780.Finally, LCM of Fractions for 10/273, 218/475, 284/847 is 154780.