Least Common Multiple of 47/425, 14/447, 755/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/425, 14/447, 755/698 quickly i.e. 496790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/425, 14/447, 755/698 is 496790.

LCM(47/425, 14/447, 755/698) = 496790

LCM of 47/425, 14/447, 755/698

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 47/425,14/447,755/698

Given numbers are 47/425,14/447,755/698

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 47,14,755

Least Common Multiple of Numerators i.e. LCM of 47,14,755 is 496790.

GCF of Denominators means GCF of 425,447,698 as per the given fractions.

GCF of 425,447,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,14,755

LCM of Fractions 47/425,14/447,755/698 is 496790

Given numbers has no common factors except 1. So, there LCM is their product i.e 496790

Least Common Multiple of 47,14,755 with GCF Formula

Least Common Multiple of 47,14,755 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 47,14,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,14,755) = 1

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

GCF(47,14,755) x common factors =1 x 1 = 1

LCM(47,14,755) = ( 47 × 14 × 755 ) / 1

LCM(47,14,755) = 496790 / 1

LCM(47,14,755) = 496790


Lets's calculate GCF of 425,447,698

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496790/1

Therefore the LCM of Fractions 47/425,14/447,755/698 is 496790

Greatest Common Factor of 425,447,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,447,698 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 425,447,698 . The biggest common factor number is the GCF number.
So the greatest common factor 425,447,698 is 1.


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 47/425, 14/447, 755/698

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 47/425, 14/447, 755/698?

Answer: LCM of Numerators as per given numbers 47/425, 14/447, 755/698 is

LCM of Numerators i.e. for 47,14,755 is 496790

GCF of denominators i.e. for 425,447,698 is 1.

Thus, LCM of Fractions is 496790.Finally, LCM of Fractions for 47/425, 14/447, 755/698 is 496790.