Least Common Multiple of 385/27, 620/49, 992/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/27, 620/49, 992/516 quickly i.e. 381920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/27, 620/49, 992/516 is 381920.

LCM(385/27, 620/49, 992/516) = 381920

LCM of 385/27, 620/49, 992/516

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 385/27,620/49,992/516

Given numbers are 385/27,620/49,992/516

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 385,620,992

Least Common Multiple of Numerators i.e. LCM of 385,620,992 is 381920.

GCF of Denominators means GCF of 27,49,516 as per the given fractions.

GCF of 27,49,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,620,992

LCM of Fractions 385/27,620/49,992/516 is 381920

2 385, 620, 992
2 385, 310, 496
5 385, 155, 248
31 77, 31, 248
77, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 77 x 1 x 8 = 381920

Least Common Multiple of 385,620,992 with GCF Formula

Least Common Multiple of 385,620,992 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 385,620,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,620,992) = 1

common factors(in case of two or more numbers have common factors) = 620

GCF(385,620,992) x common factors =1 x 620 = 620

LCM(385,620,992) = ( 385 × 620 × 992 ) / 620

LCM(385,620,992) = 236790400 / 620

LCM(385,620,992) = 381920


Lets's calculate GCF of 27,49,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 381920/1

Therefore the LCM of Fractions 385/27,620/49,992/516 is 381920

Greatest Common Factor of 27,49,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,49,516 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 27,49,516 . The biggest common factor number is the GCF number.
So the greatest common factor 27,49,516 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 385/27, 620/49, 992/516

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 385/27, 620/49, 992/516?

Answer: LCM of Numerators as per given numbers 385/27, 620/49, 992/516 is

LCM of Numerators i.e. for 385,620,992 is 381920

GCF of denominators i.e. for 27,49,516 is 1.

Thus, LCM of Fractions is 381920.Finally, LCM of Fractions for 385/27, 620/49, 992/516 is 381920.