Least Common Multiple of 253/34, 608/94, 289/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/34, 608/94, 289/962 quickly i.e. 22227568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/34, 608/94, 289/962 is 22227568.

LCM(253/34, 608/94, 289/962) = 22227568

LCM of 253/34, 608/94, 289/962

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 253/34,608/94,289/962

Given numbers are 253/34,608/94,289/962

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 253,608,289

Least Common Multiple of Numerators i.e. LCM of 253,608,289 is 44455136.

GCF of Denominators means GCF of 34,94,962 as per the given fractions.

GCF of 34,94,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,608,289

LCM of Fractions 253/34,608/94,289/962 is 22227568

Given numbers has no common factors except 1. So, there LCM is their product i.e 44455136

Least Common Multiple of 253,608,289 with GCF Formula

Least Common Multiple of 253,608,289 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 253,608,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,608,289) = 1

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

GCF(253,608,289) x common factors =1 x 1 = 1

LCM(253,608,289) = ( 253 × 608 × 289 ) / 1

LCM(253,608,289) = 44455136 / 1

LCM(253,608,289) = 44455136


Lets's calculate GCF of 34,94,962

2 34, 94, 962
17, 47, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44455136/2

Therefore the LCM of Fractions 253/34,608/94,289/962 is 22227568

Greatest Common Factor of 34,94,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,94,962 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 34,94,962 . The biggest common factor number is the GCF number.
So the greatest common factor 34,94,962 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 253/34, 608/94, 289/962

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 253/34, 608/94, 289/962?

Answer: LCM of Numerators as per given numbers 253/34, 608/94, 289/962 is

LCM of Numerators i.e. for 253,608,289 is 44455136

GCF of denominators i.e. for 34,94,962 is 2.

Thus, LCM of Fractions is 22227568.Finally, LCM of Fractions for 253/34, 608/94, 289/962 is 22227568.