Least Common Multiple of 3000/274, 1765/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3000/274, 1765/132 quickly i.e. 529500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3000/274, 1765/132 is 529500.

LCM(3000/274, 1765/132) = 529500

LCM of 3000/274, 1765/132

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 3000/274,1765/132

Given numbers are 3000/274,1765/132

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 3000,1765

Least Common Multiple of Numerators i.e. LCM of 3000,1765 is 1059000.

GCF of Denominators means GCF of 274,132 as per the given fractions.

GCF of 274,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3000,1765

LCM of Fractions 3000/274,1765/132 is 529500

5 3000, 1765
600, 353

∴ So the LCM of the given numbers is 5 x 600 x 353 = 1059000

Least Common Multiple of 3000,1765 with GCF Formula

Least Common Multiple of 3000,1765 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 3000,1765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3000,1765) = 5

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

GCF(3000,1765) x common factors =5 x 1 = 5

LCM(3000,1765) = ( 3000 × 1765 ) / 5

LCM(3000,1765) = 5295000 / 5

LCM(3000,1765) = 1059000


Lets's calculate GCF of 274,132

2 274, 132
137, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1059000/2

Therefore the LCM of Fractions 3000/274,1765/132 is 529500

Greatest Common Factor of 274,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,132 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 274,132 . The biggest common factor number is the GCF number.
So the greatest common factor 274,132 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 3000/274, 1765/132

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 3000/274, 1765/132?

Answer: LCM of Numerators as per given numbers 3000/274, 1765/132 is

LCM of Numerators i.e. for 3000,1765 is 1059000

GCF of denominators i.e. for 274,132 is 2.

Thus, LCM of Fractions is 529500.Finally, LCM of Fractions for 3000/274, 1765/132 is 529500.