Least Common Multiple of 47/67, 85/31, 748/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/67, 85/31, 748/717 quickly i.e. 175780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/67, 85/31, 748/717 is 175780.

LCM(47/67, 85/31, 748/717) = 175780

LCM of 47/67, 85/31, 748/717

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 47/67,85/31,748/717

Given numbers are 47/67,85/31,748/717

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 47,85,748

Least Common Multiple of Numerators i.e. LCM of 47,85,748 is 175780.

GCF of Denominators means GCF of 67,31,717 as per the given fractions.

GCF of 67,31,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,85,748

LCM of Fractions 47/67,85/31,748/717 is 175780

17 47, 85, 748
47, 5, 44

∴ So the LCM of the given numbers is 17 x 47 x 5 x 44 = 175780

Least Common Multiple of 47,85,748 with GCF Formula

Least Common Multiple of 47,85,748 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 47,85,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,85,748) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(47,85,748) x common factors =1 x 17 = 17

LCM(47,85,748) = ( 47 × 85 × 748 ) / 17

LCM(47,85,748) = 2988260 / 17

LCM(47,85,748) = 175780


Lets's calculate GCF of 67,31,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175780/1

Therefore the LCM of Fractions 47/67,85/31,748/717 is 175780

Greatest Common Factor of 67,31,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,31,717 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 67,31,717 . The biggest common factor number is the GCF number.
So the greatest common factor 67,31,717 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 47/67, 85/31, 748/717

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 47/67, 85/31, 748/717?

Answer: LCM of Numerators as per given numbers 47/67, 85/31, 748/717 is

LCM of Numerators i.e. for 47,85,748 is 175780

GCF of denominators i.e. for 67,31,717 is 1.

Thus, LCM of Fractions is 175780.Finally, LCM of Fractions for 47/67, 85/31, 748/717 is 175780.