Least Common Multiple of 1300/632, 5880/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1300/632, 5880/494 quickly i.e. 191100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1300/632, 5880/494 is 191100.

LCM(1300/632, 5880/494) = 191100

LCM of 1300/632, 5880/494

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 1300/632,5880/494

Given numbers are 1300/632,5880/494

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 1300,5880

Least Common Multiple of Numerators i.e. LCM of 1300,5880 is 382200.

GCF of Denominators means GCF of 632,494 as per the given fractions.

GCF of 632,494 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1300,5880

LCM of Fractions 1300/632,5880/494 is 191100

2 1300, 5880
2 650, 2940
5 325, 1470
65, 294

∴ So the LCM of the given numbers is 2 x 2 x 5 x 65 x 294 = 382200

Least Common Multiple of 1300,5880 with GCF Formula

Least Common Multiple of 1300,5880 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 1300,5880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1300,5880) = 20

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

GCF(1300,5880) x common factors =20 x 1 = 20

LCM(1300,5880) = ( 1300 × 5880 ) / 20

LCM(1300,5880) = 7644000 / 20

LCM(1300,5880) = 382200


Lets's calculate GCF of 632,494

2 632, 494
316, 247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 382200/2

Therefore the LCM of Fractions 1300/632,5880/494 is 191100

Greatest Common Factor of 632,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,494 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 632,494 . The biggest common factor number is the GCF number.
So the greatest common factor 632,494 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 1300/632, 5880/494

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 1300/632, 5880/494?

Answer: LCM of Numerators as per given numbers 1300/632, 5880/494 is

LCM of Numerators i.e. for 1300,5880 is 382200

GCF of denominators i.e. for 632,494 is 2.

Thus, LCM of Fractions is 191100.Finally, LCM of Fractions for 1300/632, 5880/494 is 191100.