Least Common Multiple of 1175/789, 3580/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1175/789, 3580/132 quickly i.e. 841300/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1175/789, 3580/132 is 841300/3.

LCM(1175/789, 3580/132) = 841300/3

LCM of 1175/789, 3580/132

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 1175/789,3580/132

Given numbers are 1175/789,3580/132

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 1175,3580

Least Common Multiple of Numerators i.e. LCM of 1175,3580 is 841300.

GCF of Denominators means GCF of 789,132 as per the given fractions.

GCF of 789,132 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1175,3580

LCM of Fractions 1175/789,3580/132 is 841300/3

5 1175, 3580
235, 716

∴ So the LCM of the given numbers is 5 x 235 x 716 = 841300

Least Common Multiple of 1175,3580 with GCF Formula

Least Common Multiple of 1175,3580 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 1175,3580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1175,3580) = 5

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

GCF(1175,3580) x common factors =5 x 1 = 5

LCM(1175,3580) = ( 1175 × 3580 ) / 5

LCM(1175,3580) = 4206500 / 5

LCM(1175,3580) = 841300


Lets's calculate GCF of 789,132

3 789, 132
263, 44

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841300/3

Therefore the LCM of Fractions 1175/789,3580/132 is 841300/3

Greatest Common Factor of 789,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,132 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

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 789,132 . The biggest common factor number is the GCF number.
So the greatest common factor 789,132 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1175/789, 3580/132

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 1175/789, 3580/132?

Answer: LCM of Numerators as per given numbers 1175/789, 3580/132 is

LCM of Numerators i.e. for 1175,3580 is 841300

GCF of denominators i.e. for 789,132 is 3.

Thus, LCM of Fractions is 841300/3.Finally, LCM of Fractions for 1175/789, 3580/132 is 841300/3.