Least Common Multiple of 978/33, 670/8575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/33, 670/8575 quickly i.e. 327630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/33, 670/8575 is 327630.

LCM(978/33, 670/8575) = 327630

LCM of 978/33, 670/8575

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 978/33,670/8575

Given numbers are 978/33,670/8575

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 978,670

Least Common Multiple of Numerators i.e. LCM of 978,670 is 327630.

GCF of Denominators means GCF of 33,8575 as per the given fractions.

GCF of 33,8575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,670

LCM of Fractions 978/33,670/8575 is 327630

2 978, 670
489, 335

∴ So the LCM of the given numbers is 2 x 489 x 335 = 327630

Least Common Multiple of 978,670 with GCF Formula

Least Common Multiple of 978,670 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 978,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,670) = 2

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

GCF(978,670) x common factors =2 x 1 = 2

LCM(978,670) = ( 978 × 670 ) / 2

LCM(978,670) = 655260 / 2

LCM(978,670) = 327630


Lets's calculate GCF of 33,8575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327630/1

Therefore the LCM of Fractions 978/33,670/8575 is 327630

Greatest Common Factor of 33,8575 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,8575 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 8575

List of positive integer factors of 8575 that divides 8575 without a remainder.

1,5,7,25,35,49,175,245,343,1225,1715,8575

Greatest Common Factor

We found the factors 33,8575 . The biggest common factor number is the GCF number.
So the greatest common factor 33,8575 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 978/33, 670/8575

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 978/33, 670/8575?

Answer: LCM of Numerators as per given numbers 978/33, 670/8575 is

LCM of Numerators i.e. for 978,670 is 327630

GCF of denominators i.e. for 33,8575 is 1.

Thus, LCM of Fractions is 327630.Finally, LCM of Fractions for 978/33, 670/8575 is 327630.