Least Common Multiple of 196/562, 5318/9078

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 196/562, 5318/9078 quickly i.e. 260582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 196/562, 5318/9078 is 260582.

LCM(196/562, 5318/9078) = 260582

LCM of 196/562, 5318/9078

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 196/562,5318/9078

Given numbers are 196/562,5318/9078

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 196,5318

Least Common Multiple of Numerators i.e. LCM of 196,5318 is 521164.

GCF of Denominators means GCF of 562,9078 as per the given fractions.

GCF of 562,9078 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 196,5318

LCM of Fractions 196/562,5318/9078 is 260582

2 196, 5318
98, 2659

∴ So the LCM of the given numbers is 2 x 98 x 2659 = 521164

Least Common Multiple of 196,5318 with GCF Formula

Least Common Multiple of 196,5318 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 196,5318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,5318) = 2

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

GCF(196,5318) x common factors =2 x 1 = 2

LCM(196,5318) = ( 196 × 5318 ) / 2

LCM(196,5318) = 1042328 / 2

LCM(196,5318) = 521164


Lets's calculate GCF of 562,9078

2 562, 9078
281, 4539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 521164/2

Therefore the LCM of Fractions 196/562,5318/9078 is 260582

Greatest Common Factor of 562,9078 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,9078 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Greatest Common Factor

We found the factors 562,9078 . The biggest common factor number is the GCF number.
So the greatest common factor 562,9078 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 196/562, 5318/9078

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 196/562, 5318/9078?

Answer: LCM of Numerators as per given numbers 196/562, 5318/9078 is

LCM of Numerators i.e. for 196,5318 is 521164

GCF of denominators i.e. for 562,9078 is 2.

Thus, LCM of Fractions is 260582.Finally, LCM of Fractions for 196/562, 5318/9078 is 260582.