Least Common Multiple of 40/770, 71/522, 181/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/770, 71/522, 181/979 quickly i.e. 514040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/770, 71/522, 181/979 is 514040.

LCM(40/770, 71/522, 181/979) = 514040

LCM of 40/770, 71/522, 181/979

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 40/770,71/522,181/979

Given numbers are 40/770,71/522,181/979

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 40,71,181

Least Common Multiple of Numerators i.e. LCM of 40,71,181 is 514040.

GCF of Denominators means GCF of 770,522,979 as per the given fractions.

GCF of 770,522,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,71,181

LCM of Fractions 40/770,71/522,181/979 is 514040

Given numbers has no common factors except 1. So, there LCM is their product i.e 514040

Least Common Multiple of 40,71,181 with GCF Formula

Least Common Multiple of 40,71,181 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 40,71,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,71,181) = 1

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

GCF(40,71,181) x common factors =1 x 1 = 1

LCM(40,71,181) = ( 40 × 71 × 181 ) / 1

LCM(40,71,181) = 514040 / 1

LCM(40,71,181) = 514040


Lets's calculate GCF of 770,522,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514040/1

Therefore the LCM of Fractions 40/770,71/522,181/979 is 514040

Greatest Common Factor of 770,522,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,522,979 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 770,522,979 . The biggest common factor number is the GCF number.
So the greatest common factor 770,522,979 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 40/770, 71/522, 181/979

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 40/770, 71/522, 181/979?

Answer: LCM of Numerators as per given numbers 40/770, 71/522, 181/979 is

LCM of Numerators i.e. for 40,71,181 is 514040

GCF of denominators i.e. for 770,522,979 is 1.

Thus, LCM of Fractions is 514040.Finally, LCM of Fractions for 40/770, 71/522, 181/979 is 514040.