Least Common Multiple of 1237/225, 5166/6214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1237/225, 5166/6214 quickly i.e. 6390342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1237/225, 5166/6214 is 6390342.

LCM(1237/225, 5166/6214) = 6390342

LCM of 1237/225, 5166/6214

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 1237/225,5166/6214

Given numbers are 1237/225,5166/6214

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 1237,5166

Least Common Multiple of Numerators i.e. LCM of 1237,5166 is 6390342.

GCF of Denominators means GCF of 225,6214 as per the given fractions.

GCF of 225,6214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1237,5166

LCM of Fractions 1237/225,5166/6214 is 6390342

Given numbers has no common factors except 1. So, there LCM is their product i.e 6390342

Least Common Multiple of 1237,5166 with GCF Formula

Least Common Multiple of 1237,5166 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 1237,5166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1237,5166) = 1

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

GCF(1237,5166) x common factors =1 x 1 = 1

LCM(1237,5166) = ( 1237 × 5166 ) / 1

LCM(1237,5166) = 6390342 / 1

LCM(1237,5166) = 6390342


Lets's calculate GCF of 225,6214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6390342/1

Therefore the LCM of Fractions 1237/225,5166/6214 is 6390342

Greatest Common Factor of 225,6214 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,6214 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors 225,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 225,6214 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1237/225, 5166/6214

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 1237/225, 5166/6214?

Answer: LCM of Numerators as per given numbers 1237/225, 5166/6214 is

LCM of Numerators i.e. for 1237,5166 is 6390342

GCF of denominators i.e. for 225,6214 is 1.

Thus, LCM of Fractions is 6390342.Finally, LCM of Fractions for 1237/225, 5166/6214 is 6390342.