Least Common Multiple of 726/70, 994/3917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/70, 994/3917 quickly i.e. 360822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/70, 994/3917 is 360822.

LCM(726/70, 994/3917) = 360822

LCM of 726/70, 994/3917

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 726/70,994/3917

Given numbers are 726/70,994/3917

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 726,994

Least Common Multiple of Numerators i.e. LCM of 726,994 is 360822.

GCF of Denominators means GCF of 70,3917 as per the given fractions.

GCF of 70,3917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,994

LCM of Fractions 726/70,994/3917 is 360822

2 726, 994
363, 497

∴ So the LCM of the given numbers is 2 x 363 x 497 = 360822

Least Common Multiple of 726,994 with GCF Formula

Least Common Multiple of 726,994 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 726,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,994) = 2

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

GCF(726,994) x common factors =2 x 1 = 2

LCM(726,994) = ( 726 × 994 ) / 2

LCM(726,994) = 721644 / 2

LCM(726,994) = 360822


Lets's calculate GCF of 70,3917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360822/1

Therefore the LCM of Fractions 726/70,994/3917 is 360822

Greatest Common Factor of 70,3917 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,3917 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 3917

List of positive integer factors of 3917 that divides 3917 without a remainder.

1,3917

Greatest Common Factor

We found the factors 70,3917 . The biggest common factor number is the GCF number.
So the greatest common factor 70,3917 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 726/70, 994/3917

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 726/70, 994/3917?

Answer: LCM of Numerators as per given numbers 726/70, 994/3917 is

LCM of Numerators i.e. for 726,994 is 360822

GCF of denominators i.e. for 70,3917 is 1.

Thus, LCM of Fractions is 360822.Finally, LCM of Fractions for 726/70, 994/3917 is 360822.