Least Common Multiple of 569/96, 199/48, 414/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 569/96, 199/48, 414/98 quickly i.e. 23438817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 569/96, 199/48, 414/98 is 23438817.

LCM(569/96, 199/48, 414/98) = 23438817

LCM of 569/96, 199/48, 414/98

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 569/96,199/48,414/98

Given numbers are 569/96,199/48,414/98

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 569,199,414

Least Common Multiple of Numerators i.e. LCM of 569,199,414 is 46877634.

GCF of Denominators means GCF of 96,48,98 as per the given fractions.

GCF of 96,48,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 569,199,414

LCM of Fractions 569/96,199/48,414/98 is 23438817

Given numbers has no common factors except 1. So, there LCM is their product i.e 46877634

Least Common Multiple of 569,199,414 with GCF Formula

Least Common Multiple of 569,199,414 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 569,199,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(569,199,414) = 1

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

GCF(569,199,414) x common factors =1 x 1 = 1

LCM(569,199,414) = ( 569 × 199 × 414 ) / 1

LCM(569,199,414) = 46877634 / 1

LCM(569,199,414) = 46877634


Lets's calculate GCF of 96,48,98

2 96, 48, 98
48, 24, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46877634/2

Therefore the LCM of Fractions 569/96,199/48,414/98 is 23438817

Greatest Common Factor of 96,48,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,48,98 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 96,48,98 . The biggest common factor number is the GCF number.
So the greatest common factor 96,48,98 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 569/96, 199/48, 414/98

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 569/96, 199/48, 414/98?

Answer: LCM of Numerators as per given numbers 569/96, 199/48, 414/98 is

LCM of Numerators i.e. for 569,199,414 is 46877634

GCF of denominators i.e. for 96,48,98 is 2.

Thus, LCM of Fractions is 23438817.Finally, LCM of Fractions for 569/96, 199/48, 414/98 is 23438817.