Least Common Multiple of 300/22, 253/1974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/22, 253/1974 quickly i.e. 37950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/22, 253/1974 is 37950.

LCM(300/22, 253/1974) = 37950

LCM of 300/22, 253/1974

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 300/22,253/1974

Given numbers are 300/22,253/1974

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 300,253

Least Common Multiple of Numerators i.e. LCM of 300,253 is 75900.

GCF of Denominators means GCF of 22,1974 as per the given fractions.

GCF of 22,1974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,253

LCM of Fractions 300/22,253/1974 is 37950

Given numbers has no common factors except 1. So, there LCM is their product i.e 75900

Least Common Multiple of 300,253 with GCF Formula

Least Common Multiple of 300,253 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 300,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,253) = 1

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

GCF(300,253) x common factors =1 x 1 = 1

LCM(300,253) = ( 300 × 253 ) / 1

LCM(300,253) = 75900 / 1

LCM(300,253) = 75900


Lets's calculate GCF of 22,1974

2 22, 1974
11, 987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75900/2

Therefore the LCM of Fractions 300/22,253/1974 is 37950

Greatest Common Factor of 22,1974 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,1974 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 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 22,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 22,1974 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 300/22, 253/1974

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 300/22, 253/1974?

Answer: LCM of Numerators as per given numbers 300/22, 253/1974 is

LCM of Numerators i.e. for 300,253 is 75900

GCF of denominators i.e. for 22,1974 is 2.

Thus, LCM of Fractions is 37950.Finally, LCM of Fractions for 300/22, 253/1974 is 37950.