Least Common Multiple of 47/763, 59/454, 170/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/763, 59/454, 170/494 quickly i.e. 471410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/763, 59/454, 170/494 is 471410.

LCM(47/763, 59/454, 170/494) = 471410

LCM of 47/763, 59/454, 170/494

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 47/763,59/454,170/494

Given numbers are 47/763,59/454,170/494

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 47,59,170

Least Common Multiple of Numerators i.e. LCM of 47,59,170 is 471410.

GCF of Denominators means GCF of 763,454,494 as per the given fractions.

GCF of 763,454,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,59,170

LCM of Fractions 47/763,59/454,170/494 is 471410

Given numbers has no common factors except 1. So, there LCM is their product i.e 471410

Least Common Multiple of 47,59,170 with GCF Formula

Least Common Multiple of 47,59,170 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 47,59,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,59,170) = 1

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

GCF(47,59,170) x common factors =1 x 1 = 1

LCM(47,59,170) = ( 47 × 59 × 170 ) / 1

LCM(47,59,170) = 471410 / 1

LCM(47,59,170) = 471410


Lets's calculate GCF of 763,454,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471410/1

Therefore the LCM of Fractions 47/763,59/454,170/494 is 471410

Greatest Common Factor of 763,454,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,454,494 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 763,454,494 . The biggest common factor number is the GCF number.
So the greatest common factor 763,454,494 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 47/763, 59/454, 170/494

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 47/763, 59/454, 170/494?

Answer: LCM of Numerators as per given numbers 47/763, 59/454, 170/494 is

LCM of Numerators i.e. for 47,59,170 is 471410

GCF of denominators i.e. for 763,454,494 is 1.

Thus, LCM of Fractions is 471410.Finally, LCM of Fractions for 47/763, 59/454, 170/494 is 471410.