Least Common Multiple of 38/126, 6847/2865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/126, 6847/2865 quickly i.e. 260186/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/126, 6847/2865 is 260186/3.

LCM(38/126, 6847/2865) = 260186/3

LCM of 38/126, 6847/2865

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 38/126,6847/2865

Given numbers are 38/126,6847/2865

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 38,6847

Least Common Multiple of Numerators i.e. LCM of 38,6847 is 260186.

GCF of Denominators means GCF of 126,2865 as per the given fractions.

GCF of 126,2865 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,6847

LCM of Fractions 38/126,6847/2865 is 260186/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 260186

Least Common Multiple of 38,6847 with GCF Formula

Least Common Multiple of 38,6847 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 38,6847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6847) = 1

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

GCF(38,6847) x common factors =1 x 1 = 1

LCM(38,6847) = ( 38 × 6847 ) / 1

LCM(38,6847) = 260186 / 1

LCM(38,6847) = 260186


Lets's calculate GCF of 126,2865

3 126, 2865
42, 955

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260186/3

Therefore the LCM of Fractions 38/126,6847/2865 is 260186/3

Greatest Common Factor of 126,2865 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,2865 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 2865

List of positive integer factors of 2865 that divides 2865 without a remainder.

1,3,5,15,191,573,955,2865

Greatest Common Factor

We found the factors 126,2865 . The biggest common factor number is the GCF number.
So the greatest common factor 126,2865 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 38/126, 6847/2865

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 38/126, 6847/2865?

Answer: LCM of Numerators as per given numbers 38/126, 6847/2865 is

LCM of Numerators i.e. for 38,6847 is 260186

GCF of denominators i.e. for 126,2865 is 3.

Thus, LCM of Fractions is 260186/3.Finally, LCM of Fractions for 38/126, 6847/2865 is 260186/3.