Least Common Multiple of 1097/978, 8250/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1097/978, 8250/418 quickly i.e. 4525125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1097/978, 8250/418 is 4525125.

LCM(1097/978, 8250/418) = 4525125

LCM of 1097/978, 8250/418

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 1097/978,8250/418

Given numbers are 1097/978,8250/418

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 1097,8250

Least Common Multiple of Numerators i.e. LCM of 1097,8250 is 9050250.

GCF of Denominators means GCF of 978,418 as per the given fractions.

GCF of 978,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1097,8250

LCM of Fractions 1097/978,8250/418 is 4525125

Given numbers has no common factors except 1. So, there LCM is their product i.e 9050250

Least Common Multiple of 1097,8250 with GCF Formula

Least Common Multiple of 1097,8250 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 1097,8250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1097,8250) = 1

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

GCF(1097,8250) x common factors =1 x 1 = 1

LCM(1097,8250) = ( 1097 × 8250 ) / 1

LCM(1097,8250) = 9050250 / 1

LCM(1097,8250) = 9050250


Lets's calculate GCF of 978,418

2 978, 418
489, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9050250/2

Therefore the LCM of Fractions 1097/978,8250/418 is 4525125

Greatest Common Factor of 978,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,418 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 978,418 . The biggest common factor number is the GCF number.
So the greatest common factor 978,418 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 1097/978, 8250/418

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 1097/978, 8250/418?

Answer: LCM of Numerators as per given numbers 1097/978, 8250/418 is

LCM of Numerators i.e. for 1097,8250 is 9050250

GCF of denominators i.e. for 978,418 is 2.

Thus, LCM of Fractions is 4525125.Finally, LCM of Fractions for 1097/978, 8250/418 is 4525125.