Least Common Multiple of 28/510, 360/607, 597/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/510, 360/607, 597/182 quickly i.e. 501480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/510, 360/607, 597/182 is 501480.

LCM(28/510, 360/607, 597/182) = 501480

LCM of 28/510, 360/607, 597/182

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 28/510,360/607,597/182

Given numbers are 28/510,360/607,597/182

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 28,360,597

Least Common Multiple of Numerators i.e. LCM of 28,360,597 is 501480.

GCF of Denominators means GCF of 510,607,182 as per the given fractions.

GCF of 510,607,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,360,597

LCM of Fractions 28/510,360/607,597/182 is 501480

2 28, 360, 597
2 14, 180, 597
3 7, 90, 597
7, 30, 199

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 30 x 199 = 501480

Least Common Multiple of 28,360,597 with GCF Formula

Least Common Multiple of 28,360,597 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 28,360,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,360,597) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(28,360,597) x common factors =1 x 12 = 12

LCM(28,360,597) = ( 28 × 360 × 597 ) / 12

LCM(28,360,597) = 6017760 / 12

LCM(28,360,597) = 501480


Lets's calculate GCF of 510,607,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501480/1

Therefore the LCM of Fractions 28/510,360/607,597/182 is 501480

Greatest Common Factor of 510,607,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,607,182 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 510,607,182 . The biggest common factor number is the GCF number.
So the greatest common factor 510,607,182 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 28/510, 360/607, 597/182

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 28/510, 360/607, 597/182?

Answer: LCM of Numerators as per given numbers 28/510, 360/607, 597/182 is

LCM of Numerators i.e. for 28,360,597 is 501480

GCF of denominators i.e. for 510,607,182 is 1.

Thus, LCM of Fractions is 501480.Finally, LCM of Fractions for 28/510, 360/607, 597/182 is 501480.