Least Common Multiple of 214/45, 988/4612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/45, 988/4612 quickly i.e. 105716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/45, 988/4612 is 105716.

LCM(214/45, 988/4612) = 105716

LCM of 214/45, 988/4612

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 214/45,988/4612

Given numbers are 214/45,988/4612

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 214,988

Least Common Multiple of Numerators i.e. LCM of 214,988 is 105716.

GCF of Denominators means GCF of 45,4612 as per the given fractions.

GCF of 45,4612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,988

LCM of Fractions 214/45,988/4612 is 105716

2 214, 988
107, 494

∴ So the LCM of the given numbers is 2 x 107 x 494 = 105716

Least Common Multiple of 214,988 with GCF Formula

Least Common Multiple of 214,988 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 214,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,988) = 2

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

GCF(214,988) x common factors =2 x 1 = 2

LCM(214,988) = ( 214 × 988 ) / 2

LCM(214,988) = 211432 / 2

LCM(214,988) = 105716


Lets's calculate GCF of 45,4612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105716/1

Therefore the LCM of Fractions 214/45,988/4612 is 105716

Greatest Common Factor of 45,4612 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,4612 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 4612

List of positive integer factors of 4612 that divides 4612 without a remainder.

1,2,4,1153,2306,4612

Greatest Common Factor

We found the factors 45,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 45,4612 is 1.


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 214/45, 988/4612

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 214/45, 988/4612?

Answer: LCM of Numerators as per given numbers 214/45, 988/4612 is

LCM of Numerators i.e. for 214,988 is 105716

GCF of denominators i.e. for 45,4612 is 1.

Thus, LCM of Fractions is 105716.Finally, LCM of Fractions for 214/45, 988/4612 is 105716.