Least Common Multiple of 46/520, 782/840, 208/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/520, 782/840, 208/378 quickly i.e. 40664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/520, 782/840, 208/378 is 40664.

LCM(46/520, 782/840, 208/378) = 40664

LCM of 46/520, 782/840, 208/378

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 46/520,782/840,208/378

Given numbers are 46/520,782/840,208/378

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 46,782,208

Least Common Multiple of Numerators i.e. LCM of 46,782,208 is 81328.

GCF of Denominators means GCF of 520,840,378 as per the given fractions.

GCF of 520,840,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,782,208

LCM of Fractions 46/520,782/840,208/378 is 40664

2 46, 782, 208
23 23, 391, 104
1, 17, 104

∴ So the LCM of the given numbers is 2 x 23 x 1 x 17 x 104 = 81328

Least Common Multiple of 46,782,208 with GCF Formula

Least Common Multiple of 46,782,208 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 46,782,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,782,208) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(46,782,208) x common factors =2 x 46 = 92

LCM(46,782,208) = ( 46 × 782 × 208 ) / 92

LCM(46,782,208) = 7482176 / 92

LCM(46,782,208) = 81328


Lets's calculate GCF of 520,840,378

2 520, 840, 378
260, 420, 189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81328/2

Therefore the LCM of Fractions 46/520,782/840,208/378 is 40664

Greatest Common Factor of 520,840,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,840,378 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 520,840,378 . The biggest common factor number is the GCF number.
So the greatest common factor 520,840,378 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 46/520, 782/840, 208/378

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 46/520, 782/840, 208/378?

Answer: LCM of Numerators as per given numbers 46/520, 782/840, 208/378 is

LCM of Numerators i.e. for 46,782,208 is 81328

GCF of denominators i.e. for 520,840,378 is 2.

Thus, LCM of Fractions is 40664.Finally, LCM of Fractions for 46/520, 782/840, 208/378 is 40664.