Least Common Multiple of 528/46, 500/41, 308/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/46, 500/41, 308/190 quickly i.e. 462000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/46, 500/41, 308/190 is 462000.

LCM(528/46, 500/41, 308/190) = 462000

LCM of 528/46, 500/41, 308/190

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 528/46,500/41,308/190

Given numbers are 528/46,500/41,308/190

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 528,500,308

Least Common Multiple of Numerators i.e. LCM of 528,500,308 is 462000.

GCF of Denominators means GCF of 46,41,190 as per the given fractions.

GCF of 46,41,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,500,308

LCM of Fractions 528/46,500/41,308/190 is 462000

2 528, 500, 308
2 264, 250, 154
11 132, 125, 77
12, 125, 7

∴ So the LCM of the given numbers is 2 x 2 x 11 x 12 x 125 x 7 = 462000

Least Common Multiple of 528,500,308 with GCF Formula

Least Common Multiple of 528,500,308 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 528,500,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,500,308) = 4

common factors(in case of two or more numbers have common factors) = 44

GCF(528,500,308) x common factors =4 x 44 = 176

LCM(528,500,308) = ( 528 × 500 × 308 ) / 176

LCM(528,500,308) = 81312000 / 176

LCM(528,500,308) = 462000


Lets's calculate GCF of 46,41,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462000/1

Therefore the LCM of Fractions 528/46,500/41,308/190 is 462000

Greatest Common Factor of 46,41,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,41,190 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 46,41,190 . The biggest common factor number is the GCF number.
So the greatest common factor 46,41,190 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 528/46, 500/41, 308/190

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 528/46, 500/41, 308/190?

Answer: LCM of Numerators as per given numbers 528/46, 500/41, 308/190 is

LCM of Numerators i.e. for 528,500,308 is 462000

GCF of denominators i.e. for 46,41,190 is 1.

Thus, LCM of Fractions is 462000.Finally, LCM of Fractions for 528/46, 500/41, 308/190 is 462000.