Least Common Multiple of 253/22, 420/9814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/22, 420/9814 quickly i.e. 53130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/22, 420/9814 is 53130.

LCM(253/22, 420/9814) = 53130

LCM of 253/22, 420/9814

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 253/22,420/9814

Given numbers are 253/22,420/9814

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 253,420

Least Common Multiple of Numerators i.e. LCM of 253,420 is 106260.

GCF of Denominators means GCF of 22,9814 as per the given fractions.

GCF of 22,9814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,420

LCM of Fractions 253/22,420/9814 is 53130

Given numbers has no common factors except 1. So, there LCM is their product i.e 106260

Least Common Multiple of 253,420 with GCF Formula

Least Common Multiple of 253,420 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 253,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,420) = 1

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

GCF(253,420) x common factors =1 x 1 = 1

LCM(253,420) = ( 253 × 420 ) / 1

LCM(253,420) = 106260 / 1

LCM(253,420) = 106260


Lets's calculate GCF of 22,9814

2 22, 9814
11, 4907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106260/2

Therefore the LCM of Fractions 253/22,420/9814 is 53130

Greatest Common Factor of 22,9814 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,9814 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Greatest Common Factor

We found the factors 22,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9814 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 253/22, 420/9814

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 253/22, 420/9814?

Answer: LCM of Numerators as per given numbers 253/22, 420/9814 is

LCM of Numerators i.e. for 253,420 is 106260

GCF of denominators i.e. for 22,9814 is 2.

Thus, LCM of Fractions is 53130.Finally, LCM of Fractions for 253/22, 420/9814 is 53130.