Least Common Multiple of 49/228, 318/726, 609/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/228, 318/726, 609/820 quickly i.e. 225939 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/228, 318/726, 609/820 is 225939.

LCM(49/228, 318/726, 609/820) = 225939

LCM of 49/228, 318/726, 609/820

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 49/228,318/726,609/820

Given numbers are 49/228,318/726,609/820

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 49,318,609

Least Common Multiple of Numerators i.e. LCM of 49,318,609 is 451878.

GCF of Denominators means GCF of 228,726,820 as per the given fractions.

GCF of 228,726,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,318,609

LCM of Fractions 49/228,318/726,609/820 is 225939

3 49, 318, 609
7 49, 106, 203
7, 106, 29

∴ So the LCM of the given numbers is 3 x 7 x 7 x 106 x 29 = 451878

Least Common Multiple of 49,318,609 with GCF Formula

Least Common Multiple of 49,318,609 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 49,318,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,318,609) = 1

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

GCF(49,318,609) x common factors =1 x 21 = 21

LCM(49,318,609) = ( 49 × 318 × 609 ) / 21

LCM(49,318,609) = 9489438 / 21

LCM(49,318,609) = 451878


Lets's calculate GCF of 228,726,820

2 228, 726, 820
114, 363, 410

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451878/2

Therefore the LCM of Fractions 49/228,318/726,609/820 is 225939

Greatest Common Factor of 228,726,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,726,820 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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 228,726,820 . The biggest common factor number is the GCF number.
So the greatest common factor 228,726,820 is 2.


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 49/228, 318/726, 609/820

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 49/228, 318/726, 609/820?

Answer: LCM of Numerators as per given numbers 49/228, 318/726, 609/820 is

LCM of Numerators i.e. for 49,318,609 is 451878

GCF of denominators i.e. for 228,726,820 is 2.

Thus, LCM of Fractions is 225939.Finally, LCM of Fractions for 49/228, 318/726, 609/820 is 225939.