Least Common Multiple of 785/46, 599/97, 743/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/46, 599/97, 743/908 quickly i.e. 349369745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/46, 599/97, 743/908 is 349369745.

LCM(785/46, 599/97, 743/908) = 349369745

LCM of 785/46, 599/97, 743/908

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 785/46,599/97,743/908

Given numbers are 785/46,599/97,743/908

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 785,599,743

Least Common Multiple of Numerators i.e. LCM of 785,599,743 is 349369745.

GCF of Denominators means GCF of 46,97,908 as per the given fractions.

GCF of 46,97,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,599,743

LCM of Fractions 785/46,599/97,743/908 is 349369745

Given numbers has no common factors except 1. So, there LCM is their product i.e 349369745

Least Common Multiple of 785,599,743 with GCF Formula

Least Common Multiple of 785,599,743 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 785,599,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,599,743) = 1

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

GCF(785,599,743) x common factors =1 x 1 = 1

LCM(785,599,743) = ( 785 × 599 × 743 ) / 1

LCM(785,599,743) = 349369745 / 1

LCM(785,599,743) = 349369745


Lets's calculate GCF of 46,97,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 349369745/1

Therefore the LCM of Fractions 785/46,599/97,743/908 is 349369745

Greatest Common Factor of 46,97,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,97,908 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 46,97,908 . The biggest common factor number is the GCF number.
So the greatest common factor 46,97,908 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 785/46, 599/97, 743/908

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 785/46, 599/97, 743/908?

Answer: LCM of Numerators as per given numbers 785/46, 599/97, 743/908 is

LCM of Numerators i.e. for 785,599,743 is 349369745

GCF of denominators i.e. for 46,97,908 is 1.

Thus, LCM of Fractions is 349369745.Finally, LCM of Fractions for 785/46, 599/97, 743/908 is 349369745.