Least Common Multiple of 199/16, 920/10, 498/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/16, 920/10, 498/758 quickly i.e. 22793460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/16, 920/10, 498/758 is 22793460.

LCM(199/16, 920/10, 498/758) = 22793460

LCM of 199/16, 920/10, 498/758

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 199/16,920/10,498/758

Given numbers are 199/16,920/10,498/758

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 199,920,498

Least Common Multiple of Numerators i.e. LCM of 199,920,498 is 45586920.

GCF of Denominators means GCF of 16,10,758 as per the given fractions.

GCF of 16,10,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,920,498

LCM of Fractions 199/16,920/10,498/758 is 22793460

2 199, 920, 498
199, 460, 249

∴ So the LCM of the given numbers is 2 x 199 x 460 x 249 = 45586920

Least Common Multiple of 199,920,498 with GCF Formula

Least Common Multiple of 199,920,498 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 199,920,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,920,498) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(199,920,498) x common factors =1 x 2 = 2

LCM(199,920,498) = ( 199 × 920 × 498 ) / 2

LCM(199,920,498) = 91173840 / 2

LCM(199,920,498) = 45586920


Lets's calculate GCF of 16,10,758

2 16, 10, 758
8, 5, 379

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45586920/2

Therefore the LCM of Fractions 199/16,920/10,498/758 is 22793460

Greatest Common Factor of 16,10,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,10,758 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 16,10,758 . The biggest common factor number is the GCF number.
So the greatest common factor 16,10,758 is 2.


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 199/16, 920/10, 498/758

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 199/16, 920/10, 498/758?

Answer: LCM of Numerators as per given numbers 199/16, 920/10, 498/758 is

LCM of Numerators i.e. for 199,920,498 is 45586920

GCF of denominators i.e. for 16,10,758 is 2.

Thus, LCM of Fractions is 22793460.Finally, LCM of Fractions for 199/16, 920/10, 498/758 is 22793460.