Least Common Multiple of 460/44, 213/7802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/44, 213/7802 quickly i.e. 48990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/44, 213/7802 is 48990.

LCM(460/44, 213/7802) = 48990

LCM of 460/44, 213/7802

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 460/44,213/7802

Given numbers are 460/44,213/7802

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 460,213

Least Common Multiple of Numerators i.e. LCM of 460,213 is 97980.

GCF of Denominators means GCF of 44,7802 as per the given fractions.

GCF of 44,7802 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,213

LCM of Fractions 460/44,213/7802 is 48990

Given numbers has no common factors except 1. So, there LCM is their product i.e 97980

Least Common Multiple of 460,213 with GCF Formula

Least Common Multiple of 460,213 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 460,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,213) = 1

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

GCF(460,213) x common factors =1 x 1 = 1

LCM(460,213) = ( 460 × 213 ) / 1

LCM(460,213) = 97980 / 1

LCM(460,213) = 97980


Lets's calculate GCF of 44,7802

2 44, 7802
22, 3901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97980/2

Therefore the LCM of Fractions 460/44,213/7802 is 48990

Greatest Common Factor of 44,7802 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,7802 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 7802

List of positive integer factors of 7802 that divides 7802 without a remainder.

1,2,47,83,94,166,3901,7802

Greatest Common Factor

We found the factors 44,7802 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7802 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 460/44, 213/7802

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 460/44, 213/7802?

Answer: LCM of Numerators as per given numbers 460/44, 213/7802 is

LCM of Numerators i.e. for 460,213 is 97980

GCF of denominators i.e. for 44,7802 is 2.

Thus, LCM of Fractions is 48990.Finally, LCM of Fractions for 460/44, 213/7802 is 48990.