Least Common Multiple of 5979/214, 2691/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5979/214, 2691/890 quickly i.e. 5363163/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5979/214, 2691/890 is 5363163/2.

LCM(5979/214, 2691/890) = 5363163/2

LCM of 5979/214, 2691/890

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 5979/214,2691/890

Given numbers are 5979/214,2691/890

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 5979,2691

Least Common Multiple of Numerators i.e. LCM of 5979,2691 is 5363163.

GCF of Denominators means GCF of 214,890 as per the given fractions.

GCF of 214,890 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5979,2691

LCM of Fractions 5979/214,2691/890 is 5363163/2

3 5979, 2691
1993, 897

∴ So the LCM of the given numbers is 3 x 1993 x 897 = 5363163

Least Common Multiple of 5979,2691 with GCF Formula

Least Common Multiple of 5979,2691 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 5979,2691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5979,2691) = 3

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

GCF(5979,2691) x common factors =3 x 1 = 3

LCM(5979,2691) = ( 5979 × 2691 ) / 3

LCM(5979,2691) = 16089489 / 3

LCM(5979,2691) = 5363163


Lets's calculate GCF of 214,890

2 214, 890
107, 445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5363163/2

Therefore the LCM of Fractions 5979/214,2691/890 is 5363163/2

Greatest Common Factor of 214,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,890 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 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 214,890 . The biggest common factor number is the GCF number.
So the greatest common factor 214,890 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 5979/214, 2691/890

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 5979/214, 2691/890?

Answer: LCM of Numerators as per given numbers 5979/214, 2691/890 is

LCM of Numerators i.e. for 5979,2691 is 5363163

GCF of denominators i.e. for 214,890 is 2.

Thus, LCM of Fractions is 5363163/2.Finally, LCM of Fractions for 5979/214, 2691/890 is 5363163/2.