Least Common Multiple of 187/803, 560/430, 352/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/803, 560/430, 352/580 quickly i.e. 209440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/803, 560/430, 352/580 is 209440.

LCM(187/803, 560/430, 352/580) = 209440

LCM of 187/803, 560/430, 352/580

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 187/803,560/430,352/580

Given numbers are 187/803,560/430,352/580

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 187,560,352

Least Common Multiple of Numerators i.e. LCM of 187,560,352 is 209440.

GCF of Denominators means GCF of 803,430,580 as per the given fractions.

GCF of 803,430,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,560,352

LCM of Fractions 187/803,560/430,352/580 is 209440

2 187, 560, 352
2 187, 280, 176
2 187, 140, 88
2 187, 70, 44
11 187, 35, 22
17, 35, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 17 x 35 x 2 = 209440

Least Common Multiple of 187,560,352 with GCF Formula

Least Common Multiple of 187,560,352 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 187,560,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,560,352) = 1

common factors(in case of two or more numbers have common factors) = 176

GCF(187,560,352) x common factors =1 x 176 = 176

LCM(187,560,352) = ( 187 × 560 × 352 ) / 176

LCM(187,560,352) = 36861440 / 176

LCM(187,560,352) = 209440


Lets's calculate GCF of 803,430,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209440/1

Therefore the LCM of Fractions 187/803,560/430,352/580 is 209440

Greatest Common Factor of 803,430,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,430,580 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 803,430,580 . The biggest common factor number is the GCF number.
So the greatest common factor 803,430,580 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 187/803, 560/430, 352/580

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 187/803, 560/430, 352/580?

Answer: LCM of Numerators as per given numbers 187/803, 560/430, 352/580 is

LCM of Numerators i.e. for 187,560,352 is 209440

GCF of denominators i.e. for 803,430,580 is 1.

Thus, LCM of Fractions is 209440.Finally, LCM of Fractions for 187/803, 560/430, 352/580 is 209440.