Least Common Multiple of 35/91, 59/73, 838/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/91, 59/73, 838/699 quickly i.e. 1730470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/91, 59/73, 838/699 is 1730470.

LCM(35/91, 59/73, 838/699) = 1730470

LCM of 35/91, 59/73, 838/699

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 35/91,59/73,838/699

Given numbers are 35/91,59/73,838/699

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 35,59,838

Least Common Multiple of Numerators i.e. LCM of 35,59,838 is 1730470.

GCF of Denominators means GCF of 91,73,699 as per the given fractions.

GCF of 91,73,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,59,838

LCM of Fractions 35/91,59/73,838/699 is 1730470

Given numbers has no common factors except 1. So, there LCM is their product i.e 1730470

Least Common Multiple of 35,59,838 with GCF Formula

Least Common Multiple of 35,59,838 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 35,59,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,59,838) = 1

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

GCF(35,59,838) x common factors =1 x 1 = 1

LCM(35,59,838) = ( 35 × 59 × 838 ) / 1

LCM(35,59,838) = 1730470 / 1

LCM(35,59,838) = 1730470


Lets's calculate GCF of 91,73,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1730470/1

Therefore the LCM of Fractions 35/91,59/73,838/699 is 1730470

Greatest Common Factor of 91,73,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,73,699 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 91,73,699 . The biggest common factor number is the GCF number.
So the greatest common factor 91,73,699 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 35/91, 59/73, 838/699

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 35/91, 59/73, 838/699?

Answer: LCM of Numerators as per given numbers 35/91, 59/73, 838/699 is

LCM of Numerators i.e. for 35,59,838 is 1730470

GCF of denominators i.e. for 91,73,699 is 1.

Thus, LCM of Fractions is 1730470.Finally, LCM of Fractions for 35/91, 59/73, 838/699 is 1730470.