Least Common Multiple of 47/648, 755/714, 520/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/648, 755/714, 520/346 quickly i.e. 1845220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/648, 755/714, 520/346 is 1845220.

LCM(47/648, 755/714, 520/346) = 1845220

LCM of 47/648, 755/714, 520/346

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 47/648,755/714,520/346

Given numbers are 47/648,755/714,520/346

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 47,755,520

Least Common Multiple of Numerators i.e. LCM of 47,755,520 is 3690440.

GCF of Denominators means GCF of 648,714,346 as per the given fractions.

GCF of 648,714,346 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,755,520

LCM of Fractions 47/648,755/714,520/346 is 1845220

5 47, 755, 520
47, 151, 104

∴ So the LCM of the given numbers is 5 x 47 x 151 x 104 = 3690440

Least Common Multiple of 47,755,520 with GCF Formula

Least Common Multiple of 47,755,520 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 47,755,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,755,520) = 1

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

GCF(47,755,520) x common factors =1 x 5 = 5

LCM(47,755,520) = ( 47 × 755 × 520 ) / 5

LCM(47,755,520) = 18452200 / 5

LCM(47,755,520) = 3690440


Lets's calculate GCF of 648,714,346

2 648, 714, 346
324, 357, 173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3690440/2

Therefore the LCM of Fractions 47/648,755/714,520/346 is 1845220

Greatest Common Factor of 648,714,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,714,346 By Matching Biggest Common Factor Method

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 648,714,346 . The biggest common factor number is the GCF number.
So the greatest common factor 648,714,346 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 47/648, 755/714, 520/346

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 47/648, 755/714, 520/346?

Answer: LCM of Numerators as per given numbers 47/648, 755/714, 520/346 is

LCM of Numerators i.e. for 47,755,520 is 3690440

GCF of denominators i.e. for 648,714,346 is 2.

Thus, LCM of Fractions is 1845220.Finally, LCM of Fractions for 47/648, 755/714, 520/346 is 1845220.