Least Common Multiple of 1980/214, 6203/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1980/214, 6203/672 quickly i.e. 6140970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1980/214, 6203/672 is 6140970.

LCM(1980/214, 6203/672) = 6140970

LCM of 1980/214, 6203/672

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 1980/214,6203/672

Given numbers are 1980/214,6203/672

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 1980,6203

Least Common Multiple of Numerators i.e. LCM of 1980,6203 is 12281940.

GCF of Denominators means GCF of 214,672 as per the given fractions.

GCF of 214,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1980,6203

LCM of Fractions 1980/214,6203/672 is 6140970

Given numbers has no common factors except 1. So, there LCM is their product i.e 12281940

Least Common Multiple of 1980,6203 with GCF Formula

Least Common Multiple of 1980,6203 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 1980,6203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1980,6203) = 1

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

GCF(1980,6203) x common factors =1 x 1 = 1

LCM(1980,6203) = ( 1980 × 6203 ) / 1

LCM(1980,6203) = 12281940 / 1

LCM(1980,6203) = 12281940


Lets's calculate GCF of 214,672

2 214, 672
107, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12281940/2

Therefore the LCM of Fractions 1980/214,6203/672 is 6140970

Greatest Common Factor of 214,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,672 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 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 214,672 . The biggest common factor number is the GCF number.
So the greatest common factor 214,672 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 1980/214, 6203/672

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 1980/214, 6203/672?

Answer: LCM of Numerators as per given numbers 1980/214, 6203/672 is

LCM of Numerators i.e. for 1980,6203 is 12281940

GCF of denominators i.e. for 214,672 is 2.

Thus, LCM of Fractions is 6140970.Finally, LCM of Fractions for 1980/214, 6203/672 is 6140970.