Least Common Multiple of 63/214, 6083/3714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/214, 6083/3714 quickly i.e. 54747/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/214, 6083/3714 is 54747/2.

LCM(63/214, 6083/3714) = 54747/2

LCM of 63/214, 6083/3714

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 63/214,6083/3714

Given numbers are 63/214,6083/3714

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 63,6083

Least Common Multiple of Numerators i.e. LCM of 63,6083 is 54747.

GCF of Denominators means GCF of 214,3714 as per the given fractions.

GCF of 214,3714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,6083

LCM of Fractions 63/214,6083/3714 is 54747/2

7 63, 6083
9, 869

∴ So the LCM of the given numbers is 7 x 9 x 869 = 54747

Least Common Multiple of 63,6083 with GCF Formula

Least Common Multiple of 63,6083 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 63,6083 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,6083) = 7

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

GCF(63,6083) x common factors =7 x 1 = 7

LCM(63,6083) = ( 63 × 6083 ) / 7

LCM(63,6083) = 383229 / 7

LCM(63,6083) = 54747


Lets's calculate GCF of 214,3714

2 214, 3714
107, 1857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54747/2

Therefore the LCM of Fractions 63/214,6083/3714 is 54747/2

Greatest Common Factor of 214,3714 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,3714 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 3714

List of positive integer factors of 3714 that divides 3714 without a remainder.

1,2,3,6,619,1238,1857,3714

Greatest Common Factor

We found the factors 214,3714 . The biggest common factor number is the GCF number.
So the greatest common factor 214,3714 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 63/214, 6083/3714

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 63/214, 6083/3714?

Answer: LCM of Numerators as per given numbers 63/214, 6083/3714 is

LCM of Numerators i.e. for 63,6083 is 54747

GCF of denominators i.e. for 214,3714 is 2.

Thus, LCM of Fractions is 54747/2.Finally, LCM of Fractions for 63/214, 6083/3714 is 54747/2.