Least Common Multiple of 47/504, 68/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 47/504, 68/910 quickly i.e. 3196/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/504, 68/910 is 3196/14.

LCM(47/504, 68/910) = 3196/14

LCM of 47/504, 68/910

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 47/504,68/910

Given numbers are 47/504,68/910

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 47,68

Least Common Multiple of Numerators i.e. LCM of 47,68 is 3196.

GCF of Denominators means GCF of 504,910 as per the given fractions.

GCF of 504,910 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,68

LCM of Fractions 47/504,68/910 is 3196/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 3196

Least Common Multiple of 47,68 with GCF Formula

Least Common Multiple of 47,68 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 47,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,68) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,68) x common factors =1 x 1 = 1

LCM(47,68) = ( 47 × 68 ) / 1

LCM(47,68) = 3196 / 1

LCM(47,68) = 3196


Lets's calculate GCF of 504,910

2 504, 910
7 252, 455
36, 65

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3196/14

Therefore the LCM of Fractions 47/504,68/910 is 3196/14

Greatest Common Factor of 504,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,910 By Matching Biggest Common Factor Method

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

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 504,910 . The biggest common factor number is the GCF number.
So the greatest common factor 504,910 is 14.


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 47/504, 68/910

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 47/504, 68/910?

Answer: LCM of Numerators as per given numbers 47/504, 68/910 is

LCM of Numerators i.e. for 47,68 is 3196

GCF of denominators i.e. for 504,910 is 14.

Thus, LCM of Fractions is 3196/14.Finally, LCM of Fractions for 47/504, 68/910 is 3196/14.