Least Common Multiple of 49/916, 47/414, 368/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/916, 47/414, 368/787 quickly i.e. 847504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/916, 47/414, 368/787 is 847504.

LCM(49/916, 47/414, 368/787) = 847504

LCM of 49/916, 47/414, 368/787

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 49/916,47/414,368/787

Given numbers are 49/916,47/414,368/787

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 49,47,368

Least Common Multiple of Numerators i.e. LCM of 49,47,368 is 847504.

GCF of Denominators means GCF of 916,414,787 as per the given fractions.

GCF of 916,414,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,47,368

LCM of Fractions 49/916,47/414,368/787 is 847504

Given numbers has no common factors except 1. So, there LCM is their product i.e 847504

Least Common Multiple of 49,47,368 with GCF Formula

Least Common Multiple of 49,47,368 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 49,47,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,47,368) = 1

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

GCF(49,47,368) x common factors =1 x 1 = 1

LCM(49,47,368) = ( 49 × 47 × 368 ) / 1

LCM(49,47,368) = 847504 / 1

LCM(49,47,368) = 847504


Lets's calculate GCF of 916,414,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 847504/1

Therefore the LCM of Fractions 49/916,47/414,368/787 is 847504

Greatest Common Factor of 916,414,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,414,787 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 916,414,787 . The biggest common factor number is the GCF number.
So the greatest common factor 916,414,787 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 49/916, 47/414, 368/787

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 49/916, 47/414, 368/787?

Answer: LCM of Numerators as per given numbers 49/916, 47/414, 368/787 is

LCM of Numerators i.e. for 49,47,368 is 847504

GCF of denominators i.e. for 916,414,787 is 1.

Thus, LCM of Fractions is 847504.Finally, LCM of Fractions for 49/916, 47/414, 368/787 is 847504.