Least Common Multiple of 38/346, 941/993, 203/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/346, 941/993, 203/815 quickly i.e. 7258874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/346, 941/993, 203/815 is 7258874.

LCM(38/346, 941/993, 203/815) = 7258874

LCM of 38/346, 941/993, 203/815

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 38/346,941/993,203/815

Given numbers are 38/346,941/993,203/815

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 38,941,203

Least Common Multiple of Numerators i.e. LCM of 38,941,203 is 7258874.

GCF of Denominators means GCF of 346,993,815 as per the given fractions.

GCF of 346,993,815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,941,203

LCM of Fractions 38/346,941/993,203/815 is 7258874

Given numbers has no common factors except 1. So, there LCM is their product i.e 7258874

Least Common Multiple of 38,941,203 with GCF Formula

Least Common Multiple of 38,941,203 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 38,941,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,941,203) = 1

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

GCF(38,941,203) x common factors =1 x 1 = 1

LCM(38,941,203) = ( 38 × 941 × 203 ) / 1

LCM(38,941,203) = 7258874 / 1

LCM(38,941,203) = 7258874


Lets's calculate GCF of 346,993,815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7258874/1

Therefore the LCM of Fractions 38/346,941/993,203/815 is 7258874

Greatest Common Factor of 346,993,815 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,993,815 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Greatest Common Factor

We found the factors 346,993,815 . The biggest common factor number is the GCF number.
So the greatest common factor 346,993,815 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/346, 941/993, 203/815

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 38/346, 941/993, 203/815?

Answer: LCM of Numerators as per given numbers 38/346, 941/993, 203/815 is

LCM of Numerators i.e. for 38,941,203 is 7258874

GCF of denominators i.e. for 346,993,815 is 1.

Thus, LCM of Fractions is 7258874.Finally, LCM of Fractions for 38/346, 941/993, 203/815 is 7258874.