Least Common Multiple of 992/491, 381/199, 972/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/491, 381/199, 972/509 quickly i.e. 30614112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/491, 381/199, 972/509 is 30614112.

LCM(992/491, 381/199, 972/509) = 30614112

LCM of 992/491, 381/199, 972/509

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 992/491,381/199,972/509

Given numbers are 992/491,381/199,972/509

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 992,381,972

Least Common Multiple of Numerators i.e. LCM of 992,381,972 is 30614112.

GCF of Denominators means GCF of 491,199,509 as per the given fractions.

GCF of 491,199,509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,381,972

LCM of Fractions 992/491,381/199,972/509 is 30614112

2 992, 381, 972
2 496, 381, 486
3 248, 381, 243
248, 127, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 248 x 127 x 81 = 30614112

Least Common Multiple of 992,381,972 with GCF Formula

Least Common Multiple of 992,381,972 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 992,381,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,381,972) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(992,381,972) x common factors =1 x 12 = 12

LCM(992,381,972) = ( 992 × 381 × 972 ) / 12

LCM(992,381,972) = 367369344 / 12

LCM(992,381,972) = 30614112


Lets's calculate GCF of 491,199,509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30614112/1

Therefore the LCM of Fractions 992/491,381/199,972/509 is 30614112

Greatest Common Factor of 491,199,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,199,509 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 491,199,509 . The biggest common factor number is the GCF number.
So the greatest common factor 491,199,509 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 992/491, 381/199, 972/509

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 992/491, 381/199, 972/509?

Answer: LCM of Numerators as per given numbers 992/491, 381/199, 972/509 is

LCM of Numerators i.e. for 992,381,972 is 30614112

GCF of denominators i.e. for 491,199,509 is 1.

Thus, LCM of Fractions is 30614112.Finally, LCM of Fractions for 992/491, 381/199, 972/509 is 30614112.