Least Common Multiple of 46/868, 915/510, 152/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/868, 915/510, 152/504 quickly i.e. 1599420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/868, 915/510, 152/504 is 1599420.

LCM(46/868, 915/510, 152/504) = 1599420

LCM of 46/868, 915/510, 152/504

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 46/868,915/510,152/504

Given numbers are 46/868,915/510,152/504

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 46,915,152

Least Common Multiple of Numerators i.e. LCM of 46,915,152 is 3198840.

GCF of Denominators means GCF of 868,510,504 as per the given fractions.

GCF of 868,510,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,915,152

LCM of Fractions 46/868,915/510,152/504 is 1599420

2 46, 915, 152
23, 915, 76

∴ So the LCM of the given numbers is 2 x 23 x 915 x 76 = 3198840

Least Common Multiple of 46,915,152 with GCF Formula

Least Common Multiple of 46,915,152 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 46,915,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,915,152) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,915,152) x common factors =1 x 2 = 2

LCM(46,915,152) = ( 46 × 915 × 152 ) / 2

LCM(46,915,152) = 6397680 / 2

LCM(46,915,152) = 3198840


Lets's calculate GCF of 868,510,504

2 868, 510, 504
434, 255, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3198840/2

Therefore the LCM of Fractions 46/868,915/510,152/504 is 1599420

Greatest Common Factor of 868,510,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,510,504 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

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 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 868,510,504 . The biggest common factor number is the GCF number.
So the greatest common factor 868,510,504 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 46/868, 915/510, 152/504

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 46/868, 915/510, 152/504?

Answer: LCM of Numerators as per given numbers 46/868, 915/510, 152/504 is

LCM of Numerators i.e. for 46,915,152 is 3198840

GCF of denominators i.e. for 868,510,504 is 2.

Thus, LCM of Fractions is 1599420.Finally, LCM of Fractions for 46/868, 915/510, 152/504 is 1599420.