Least Common Multiple of 284/758, 698/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/758, 698/578 quickly i.e. 49558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/758, 698/578 is 49558.

LCM(284/758, 698/578) = 49558

LCM of 284/758, 698/578

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 284/758,698/578

Given numbers are 284/758,698/578

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 284,698

Least Common Multiple of Numerators i.e. LCM of 284,698 is 99116.

GCF of Denominators means GCF of 758,578 as per the given fractions.

GCF of 758,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,698

LCM of Fractions 284/758,698/578 is 49558

2 284, 698
142, 349

∴ So the LCM of the given numbers is 2 x 142 x 349 = 99116

Least Common Multiple of 284,698 with GCF Formula

Least Common Multiple of 284,698 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 284,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,698) = 2

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

GCF(284,698) x common factors =2 x 1 = 2

LCM(284,698) = ( 284 × 698 ) / 2

LCM(284,698) = 198232 / 2

LCM(284,698) = 99116


Lets's calculate GCF of 758,578

2 758, 578
379, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99116/2

Therefore the LCM of Fractions 284/758,698/578 is 49558

Greatest Common Factor of 758,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,578 By Matching Biggest Common Factor Method

Factors of 758

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

1,2,379,758

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 758,578 . The biggest common factor number is the GCF number.
So the greatest common factor 758,578 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 284/758, 698/578

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 284/758, 698/578?

Answer: LCM of Numerators as per given numbers 284/758, 698/578 is

LCM of Numerators i.e. for 284,698 is 99116

GCF of denominators i.e. for 758,578 is 2.

Thus, LCM of Fractions is 49558.Finally, LCM of Fractions for 284/758, 698/578 is 49558.