Least Common Multiple of 900/68, 3447/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/68, 3447/945 quickly i.e. 344700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/68, 3447/945 is 344700.

LCM(900/68, 3447/945) = 344700

LCM of 900/68, 3447/945

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 900/68,3447/945

Given numbers are 900/68,3447/945

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 900,3447

Least Common Multiple of Numerators i.e. LCM of 900,3447 is 344700.

GCF of Denominators means GCF of 68,945 as per the given fractions.

GCF of 68,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,3447

LCM of Fractions 900/68,3447/945 is 344700

3 900, 3447
3 300, 1149
100, 383

∴ So the LCM of the given numbers is 3 x 3 x 100 x 383 = 344700

Least Common Multiple of 900,3447 with GCF Formula

Least Common Multiple of 900,3447 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 900,3447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,3447) = 9

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

GCF(900,3447) x common factors =9 x 1 = 9

LCM(900,3447) = ( 900 × 3447 ) / 9

LCM(900,3447) = 3102300 / 9

LCM(900,3447) = 344700


Lets's calculate GCF of 68,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 344700/1

Therefore the LCM of Fractions 900/68,3447/945 is 344700

Greatest Common Factor of 68,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,945 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 68,945 . The biggest common factor number is the GCF number.
So the greatest common factor 68,945 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 900/68, 3447/945

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 900/68, 3447/945?

Answer: LCM of Numerators as per given numbers 900/68, 3447/945 is

LCM of Numerators i.e. for 900,3447 is 344700

GCF of denominators i.e. for 68,945 is 1.

Thus, LCM of Fractions is 344700.Finally, LCM of Fractions for 900/68, 3447/945 is 344700.