Least Common Multiple of 46/528, 895/483, 375/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/528, 895/483, 375/528 quickly i.e. 1029250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/528, 895/483, 375/528 is 1029250.

LCM(46/528, 895/483, 375/528) = 1029250

LCM of 46/528, 895/483, 375/528

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 46/528,895/483,375/528

Given numbers are 46/528,895/483,375/528

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 46,895,375

Least Common Multiple of Numerators i.e. LCM of 46,895,375 is 3087750.

GCF of Denominators means GCF of 528,483,528 as per the given fractions.

GCF of 528,483,528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,895,375

LCM of Fractions 46/528,895/483,375/528 is 1029250

5 46, 895, 375
46, 179, 75

∴ So the LCM of the given numbers is 5 x 46 x 179 x 75 = 3087750

Least Common Multiple of 46,895,375 with GCF Formula

Least Common Multiple of 46,895,375 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 46,895,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,895,375) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(46,895,375) x common factors =1 x 5 = 5

LCM(46,895,375) = ( 46 × 895 × 375 ) / 5

LCM(46,895,375) = 15438750 / 5

LCM(46,895,375) = 3087750


Lets's calculate GCF of 528,483,528

3 528, 483, 528
176, 161, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3087750/3

Therefore the LCM of Fractions 46/528,895/483,375/528 is 1029250

Greatest Common Factor of 528,483,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,483,528 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 528,483,528 . The biggest common factor number is the GCF number.
So the greatest common factor 528,483,528 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/528, 895/483, 375/528

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 46/528, 895/483, 375/528?

Answer: LCM of Numerators as per given numbers 46/528, 895/483, 375/528 is

LCM of Numerators i.e. for 46,895,375 is 3087750

GCF of denominators i.e. for 528,483,528 is 3.

Thus, LCM of Fractions is 1029250.Finally, LCM of Fractions for 46/528, 895/483, 375/528 is 1029250.