Least Common Multiple of 978/196, 234/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/196, 234/219 quickly i.e. 38142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/196, 234/219 is 38142.

LCM(978/196, 234/219) = 38142

LCM of 978/196, 234/219

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 978/196,234/219

Given numbers are 978/196,234/219

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 978,234

Least Common Multiple of Numerators i.e. LCM of 978,234 is 38142.

GCF of Denominators means GCF of 196,219 as per the given fractions.

GCF of 196,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,234

LCM of Fractions 978/196,234/219 is 38142

2 978, 234
3 489, 117
163, 39

∴ So the LCM of the given numbers is 2 x 3 x 163 x 39 = 38142

Least Common Multiple of 978,234 with GCF Formula

Least Common Multiple of 978,234 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 978,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,234) = 6

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

GCF(978,234) x common factors =6 x 1 = 6

LCM(978,234) = ( 978 × 234 ) / 6

LCM(978,234) = 228852 / 6

LCM(978,234) = 38142


Lets's calculate GCF of 196,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38142/1

Therefore the LCM of Fractions 978/196,234/219 is 38142

Greatest Common Factor of 196,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,219 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 196,219 . The biggest common factor number is the GCF number.
So the greatest common factor 196,219 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 978/196, 234/219

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 978/196, 234/219?

Answer: LCM of Numerators as per given numbers 978/196, 234/219 is

LCM of Numerators i.e. for 978,234 is 38142

GCF of denominators i.e. for 196,219 is 1.

Thus, LCM of Fractions is 38142.Finally, LCM of Fractions for 978/196, 234/219 is 38142.