Least Common Multiple of 49/462, 414/543, 839/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/462, 414/543, 839/704 quickly i.e. 17019954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/462, 414/543, 839/704 is 17019954.

LCM(49/462, 414/543, 839/704) = 17019954

LCM of 49/462, 414/543, 839/704

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 49/462,414/543,839/704

Given numbers are 49/462,414/543,839/704

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 49,414,839

Least Common Multiple of Numerators i.e. LCM of 49,414,839 is 17019954.

GCF of Denominators means GCF of 462,543,704 as per the given fractions.

GCF of 462,543,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,414,839

LCM of Fractions 49/462,414/543,839/704 is 17019954

Given numbers has no common factors except 1. So, there LCM is their product i.e 17019954

Least Common Multiple of 49,414,839 with GCF Formula

Least Common Multiple of 49,414,839 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 49,414,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,414,839) = 1

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

GCF(49,414,839) x common factors =1 x 1 = 1

LCM(49,414,839) = ( 49 × 414 × 839 ) / 1

LCM(49,414,839) = 17019954 / 1

LCM(49,414,839) = 17019954


Lets's calculate GCF of 462,543,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17019954/1

Therefore the LCM of Fractions 49/462,414/543,839/704 is 17019954

Greatest Common Factor of 462,543,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 462,543,704 By Matching Biggest Common Factor Method

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 462,543,704 . The biggest common factor number is the GCF number.
So the greatest common factor 462,543,704 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 49/462, 414/543, 839/704

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 49/462, 414/543, 839/704?

Answer: LCM of Numerators as per given numbers 49/462, 414/543, 839/704 is

LCM of Numerators i.e. for 49,414,839 is 17019954

GCF of denominators i.e. for 462,543,704 is 1.

Thus, LCM of Fractions is 17019954.Finally, LCM of Fractions for 49/462, 414/543, 839/704 is 17019954.