Least Common Multiple of 77/684, 112/458, 499/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/684, 112/458, 499/193 quickly i.e. 614768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/684, 112/458, 499/193 is 614768.

LCM(77/684, 112/458, 499/193) = 614768

LCM of 77/684, 112/458, 499/193

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 77/684,112/458,499/193

Given numbers are 77/684,112/458,499/193

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 77,112,499

Least Common Multiple of Numerators i.e. LCM of 77,112,499 is 614768.

GCF of Denominators means GCF of 684,458,193 as per the given fractions.

GCF of 684,458,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,112,499

LCM of Fractions 77/684,112/458,499/193 is 614768

7 77, 112, 499
11, 16, 499

∴ So the LCM of the given numbers is 7 x 11 x 16 x 499 = 614768

Least Common Multiple of 77,112,499 with GCF Formula

Least Common Multiple of 77,112,499 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 77,112,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,112,499) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,112,499) x common factors =1 x 7 = 7

LCM(77,112,499) = ( 77 × 112 × 499 ) / 7

LCM(77,112,499) = 4303376 / 7

LCM(77,112,499) = 614768


Lets's calculate GCF of 684,458,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614768/1

Therefore the LCM of Fractions 77/684,112/458,499/193 is 614768

Greatest Common Factor of 684,458,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,458,193 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 684,458,193 . The biggest common factor number is the GCF number.
So the greatest common factor 684,458,193 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 77/684, 112/458, 499/193

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 77/684, 112/458, 499/193?

Answer: LCM of Numerators as per given numbers 77/684, 112/458, 499/193 is

LCM of Numerators i.e. for 77,112,499 is 614768

GCF of denominators i.e. for 684,458,193 is 1.

Thus, LCM of Fractions is 614768.Finally, LCM of Fractions for 77/684, 112/458, 499/193 is 614768.