Least Common Multiple of 34/26, 75/62, 450/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/26, 75/62, 450/990 quickly i.e. 3825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/26, 75/62, 450/990 is 3825.

LCM(34/26, 75/62, 450/990) = 3825

LCM of 34/26, 75/62, 450/990

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 34/26,75/62,450/990

Given numbers are 34/26,75/62,450/990

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 34,75,450

Least Common Multiple of Numerators i.e. LCM of 34,75,450 is 7650.

GCF of Denominators means GCF of 26,62,990 as per the given fractions.

GCF of 26,62,990 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,75,450

LCM of Fractions 34/26,75/62,450/990 is 3825

2 34, 75, 450
3 17, 75, 225
5 17, 25, 75
5 17, 5, 15
17, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 17 x 1 x 3 = 7650

Least Common Multiple of 34,75,450 with GCF Formula

Least Common Multiple of 34,75,450 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 34,75,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,75,450) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(34,75,450) x common factors =1 x 150 = 150

LCM(34,75,450) = ( 34 × 75 × 450 ) / 150

LCM(34,75,450) = 1147500 / 150

LCM(34,75,450) = 7650


Lets's calculate GCF of 26,62,990

2 26, 62, 990
13, 31, 495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7650/2

Therefore the LCM of Fractions 34/26,75/62,450/990 is 3825

Greatest Common Factor of 26,62,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,62,990 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 26,62,990 . The biggest common factor number is the GCF number.
So the greatest common factor 26,62,990 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 34/26, 75/62, 450/990

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 34/26, 75/62, 450/990?

Answer: LCM of Numerators as per given numbers 34/26, 75/62, 450/990 is

LCM of Numerators i.e. for 34,75,450 is 7650

GCF of denominators i.e. for 26,62,990 is 2.

Thus, LCM of Fractions is 3825.Finally, LCM of Fractions for 34/26, 75/62, 450/990 is 3825.