Least Common Multiple of 3578/998, 5952/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3578/998, 5952/465 quickly i.e. 10648128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3578/998, 5952/465 is 10648128.

LCM(3578/998, 5952/465) = 10648128

LCM of 3578/998, 5952/465

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 3578/998,5952/465

Given numbers are 3578/998,5952/465

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 3578,5952

Least Common Multiple of Numerators i.e. LCM of 3578,5952 is 10648128.

GCF of Denominators means GCF of 998,465 as per the given fractions.

GCF of 998,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3578,5952

LCM of Fractions 3578/998,5952/465 is 10648128

2 3578, 5952
1789, 2976

∴ So the LCM of the given numbers is 2 x 1789 x 2976 = 10648128

Least Common Multiple of 3578,5952 with GCF Formula

Least Common Multiple of 3578,5952 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 3578,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3578,5952) = 2

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

GCF(3578,5952) x common factors =2 x 1 = 2

LCM(3578,5952) = ( 3578 × 5952 ) / 2

LCM(3578,5952) = 21296256 / 2

LCM(3578,5952) = 10648128


Lets's calculate GCF of 998,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10648128/1

Therefore the LCM of Fractions 3578/998,5952/465 is 10648128

Greatest Common Factor of 998,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,465 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 998,465 . The biggest common factor number is the GCF number.
So the greatest common factor 998,465 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 3578/998, 5952/465

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 3578/998, 5952/465?

Answer: LCM of Numerators as per given numbers 3578/998, 5952/465 is

LCM of Numerators i.e. for 3578,5952 is 10648128

GCF of denominators i.e. for 998,465 is 1.

Thus, LCM of Fractions is 10648128.Finally, LCM of Fractions for 3578/998, 5952/465 is 10648128.