Least Common Multiple of 71/901, 24/715, 919/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/901, 24/715, 919/679 quickly i.e. 1565976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/901, 24/715, 919/679 is 1565976.

LCM(71/901, 24/715, 919/679) = 1565976

LCM of 71/901, 24/715, 919/679

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 71/901,24/715,919/679

Given numbers are 71/901,24/715,919/679

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 71,24,919

Least Common Multiple of Numerators i.e. LCM of 71,24,919 is 1565976.

GCF of Denominators means GCF of 901,715,679 as per the given fractions.

GCF of 901,715,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,24,919

LCM of Fractions 71/901,24/715,919/679 is 1565976

Given numbers has no common factors except 1. So, there LCM is their product i.e 1565976

Least Common Multiple of 71,24,919 with GCF Formula

Least Common Multiple of 71,24,919 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 71,24,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,24,919) = 1

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

GCF(71,24,919) x common factors =1 x 1 = 1

LCM(71,24,919) = ( 71 × 24 × 919 ) / 1

LCM(71,24,919) = 1565976 / 1

LCM(71,24,919) = 1565976


Lets's calculate GCF of 901,715,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1565976/1

Therefore the LCM of Fractions 71/901,24/715,919/679 is 1565976

Greatest Common Factor of 901,715,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,715,679 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 901,715,679 . The biggest common factor number is the GCF number.
So the greatest common factor 901,715,679 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 71/901, 24/715, 919/679

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 71/901, 24/715, 919/679?

Answer: LCM of Numerators as per given numbers 71/901, 24/715, 919/679 is

LCM of Numerators i.e. for 71,24,919 is 1565976

GCF of denominators i.e. for 901,715,679 is 1.

Thus, LCM of Fractions is 1565976.Finally, LCM of Fractions for 71/901, 24/715, 919/679 is 1565976.