Least Common Multiple of 34/226, 665/853, 103/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 34/226, 665/853, 103/821 quickly i.e. 2328830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/226, 665/853, 103/821 is 2328830.

LCM(34/226, 665/853, 103/821) = 2328830

LCM of 34/226, 665/853, 103/821

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 34/226,665/853,103/821

Given numbers are 34/226,665/853,103/821

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 34,665,103

Least Common Multiple of Numerators i.e. LCM of 34,665,103 is 2328830.

GCF of Denominators means GCF of 226,853,821 as per the given fractions.

GCF of 226,853,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,665,103

LCM of Fractions 34/226,665/853,103/821 is 2328830

Given numbers has no common factors except 1. So, there LCM is their product i.e 2328830

Least Common Multiple of 34,665,103 with GCF Formula

Least Common Multiple of 34,665,103 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 34,665,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,665,103) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(34,665,103) x common factors =1 x 1 = 1

LCM(34,665,103) = ( 34 × 665 × 103 ) / 1

LCM(34,665,103) = 2328830 / 1

LCM(34,665,103) = 2328830


Lets's calculate GCF of 226,853,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328830/1

Therefore the LCM of Fractions 34/226,665/853,103/821 is 2328830

Greatest Common Factor of 226,853,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,853,821 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 226,853,821 . The biggest common factor number is the GCF number.
So the greatest common factor 226,853,821 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 34/226, 665/853, 103/821

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 34/226, 665/853, 103/821?

Answer: LCM of Numerators as per given numbers 34/226, 665/853, 103/821 is

LCM of Numerators i.e. for 34,665,103 is 2328830

GCF of denominators i.e. for 226,853,821 is 1.

Thus, LCM of Fractions is 2328830.Finally, LCM of Fractions for 34/226, 665/853, 103/821 is 2328830.