Least Common Multiple of 530/787, 380/367, 488/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 530/787, 380/367, 488/945 quickly i.e. 2457080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 530/787, 380/367, 488/945 is 2457080.

LCM(530/787, 380/367, 488/945) = 2457080

LCM of 530/787, 380/367, 488/945

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 530/787,380/367,488/945

Given numbers are 530/787,380/367,488/945

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 530,380,488

Least Common Multiple of Numerators i.e. LCM of 530,380,488 is 2457080.

GCF of Denominators means GCF of 787,367,945 as per the given fractions.

GCF of 787,367,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 530,380,488

LCM of Fractions 530/787,380/367,488/945 is 2457080

2 530, 380, 488
2 265, 190, 244
5 265, 95, 122
53, 19, 122

∴ So the LCM of the given numbers is 2 x 2 x 5 x 53 x 19 x 122 = 2457080

Least Common Multiple of 530,380,488 with GCF Formula

Least Common Multiple of 530,380,488 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 530,380,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,380,488) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(530,380,488) x common factors =2 x 20 = 40

LCM(530,380,488) = ( 530 × 380 × 488 ) / 40

LCM(530,380,488) = 98283200 / 40

LCM(530,380,488) = 2457080


Lets's calculate GCF of 787,367,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2457080/1

Therefore the LCM of Fractions 530/787,380/367,488/945 is 2457080

Greatest Common Factor of 787,367,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,367,945 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

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 787,367,945 . The biggest common factor number is the GCF number.
So the greatest common factor 787,367,945 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 530/787, 380/367, 488/945

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 530/787, 380/367, 488/945?

Answer: LCM of Numerators as per given numbers 530/787, 380/367, 488/945 is

LCM of Numerators i.e. for 530,380,488 is 2457080

GCF of denominators i.e. for 787,367,945 is 1.

Thus, LCM of Fractions is 2457080.Finally, LCM of Fractions for 530/787, 380/367, 488/945 is 2457080.