Least Common Multiple of 228/47, 511/86, 861/803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/47, 511/86, 861/803 quickly i.e. 4776828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/47, 511/86, 861/803 is 4776828.

LCM(228/47, 511/86, 861/803) = 4776828

LCM of 228/47, 511/86, 861/803

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 228/47,511/86,861/803

Given numbers are 228/47,511/86,861/803

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 228,511,861

Least Common Multiple of Numerators i.e. LCM of 228,511,861 is 4776828.

GCF of Denominators means GCF of 47,86,803 as per the given fractions.

GCF of 47,86,803 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,511,861

LCM of Fractions 228/47,511/86,861/803 is 4776828

3 228, 511, 861
7 76, 511, 287
76, 73, 41

∴ So the LCM of the given numbers is 3 x 7 x 76 x 73 x 41 = 4776828

Least Common Multiple of 228,511,861 with GCF Formula

Least Common Multiple of 228,511,861 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 228,511,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,511,861) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(228,511,861) x common factors =1 x 21 = 21

LCM(228,511,861) = ( 228 × 511 × 861 ) / 21

LCM(228,511,861) = 100313388 / 21

LCM(228,511,861) = 4776828


Lets's calculate GCF of 47,86,803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4776828/1

Therefore the LCM of Fractions 228/47,511/86,861/803 is 4776828

Greatest Common Factor of 47,86,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,86,803 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 803

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

1,11,73,803

Greatest Common Factor

We found the factors 47,86,803 . The biggest common factor number is the GCF number.
So the greatest common factor 47,86,803 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 228/47, 511/86, 861/803

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 228/47, 511/86, 861/803?

Answer: LCM of Numerators as per given numbers 228/47, 511/86, 861/803 is

LCM of Numerators i.e. for 228,511,861 is 4776828

GCF of denominators i.e. for 47,86,803 is 1.

Thus, LCM of Fractions is 4776828.Finally, LCM of Fractions for 228/47, 511/86, 861/803 is 4776828.