Least Common Multiple of 80/228, 380/651, 247/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 80/228, 380/651, 247/875 quickly i.e. 19760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/228, 380/651, 247/875 is 19760.

LCM(80/228, 380/651, 247/875) = 19760

LCM of 80/228, 380/651, 247/875

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 80/228,380/651,247/875

Given numbers are 80/228,380/651,247/875

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 80,380,247

Least Common Multiple of Numerators i.e. LCM of 80,380,247 is 19760.

GCF of Denominators means GCF of 228,651,875 as per the given fractions.

GCF of 228,651,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,380,247

LCM of Fractions 80/228,380/651,247/875 is 19760

2 80, 380, 247
2 40, 190, 247
5 20, 95, 247
19 4, 19, 247
4, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 5 x 19 x 4 x 1 x 13 = 19760

Least Common Multiple of 80,380,247 with GCF Formula

Least Common Multiple of 80,380,247 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 80,380,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,380,247) = 1

common factors(in case of two or more numbers have common factors) = 380

GCF(80,380,247) x common factors =1 x 380 = 380

LCM(80,380,247) = ( 80 × 380 × 247 ) / 380

LCM(80,380,247) = 7508800 / 380

LCM(80,380,247) = 19760


Lets's calculate GCF of 228,651,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19760/1

Therefore the LCM of Fractions 80/228,380/651,247/875 is 19760

Greatest Common Factor of 228,651,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,651,875 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 228,651,875 . The biggest common factor number is the GCF number.
So the greatest common factor 228,651,875 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 80/228, 380/651, 247/875

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 80/228, 380/651, 247/875?

Answer: LCM of Numerators as per given numbers 80/228, 380/651, 247/875 is

LCM of Numerators i.e. for 80,380,247 is 19760

GCF of denominators i.e. for 228,651,875 is 1.

Thus, LCM of Fractions is 19760.Finally, LCM of Fractions for 80/228, 380/651, 247/875 is 19760.