Least Common Multiple of 772/60, 723/67, 366/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 772/60, 723/67, 366/971 quickly i.e. 34047516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 772/60, 723/67, 366/971 is 34047516.

LCM(772/60, 723/67, 366/971) = 34047516

LCM of 772/60, 723/67, 366/971

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 772/60,723/67,366/971

Given numbers are 772/60,723/67,366/971

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 772,723,366

Least Common Multiple of Numerators i.e. LCM of 772,723,366 is 34047516.

GCF of Denominators means GCF of 60,67,971 as per the given fractions.

GCF of 60,67,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 772,723,366

LCM of Fractions 772/60,723/67,366/971 is 34047516

2 772, 723, 366
3 386, 723, 183
386, 241, 61

∴ So the LCM of the given numbers is 2 x 3 x 386 x 241 x 61 = 34047516

Least Common Multiple of 772,723,366 with GCF Formula

Least Common Multiple of 772,723,366 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 772,723,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,723,366) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(772,723,366) x common factors =1 x 6 = 6

LCM(772,723,366) = ( 772 × 723 × 366 ) / 6

LCM(772,723,366) = 204285096 / 6

LCM(772,723,366) = 34047516


Lets's calculate GCF of 60,67,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34047516/1

Therefore the LCM of Fractions 772/60,723/67,366/971 is 34047516

Greatest Common Factor of 60,67,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,67,971 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 67

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

1,67

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 60,67,971 . The biggest common factor number is the GCF number.
So the greatest common factor 60,67,971 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 772/60, 723/67, 366/971

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 772/60, 723/67, 366/971?

Answer: LCM of Numerators as per given numbers 772/60, 723/67, 366/971 is

LCM of Numerators i.e. for 772,723,366 is 34047516

GCF of denominators i.e. for 60,67,971 is 1.

Thus, LCM of Fractions is 34047516.Finally, LCM of Fractions for 772/60, 723/67, 366/971 is 34047516.