Least Common Multiple of 985/90, 390/8156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/90, 390/8156 quickly i.e. 38415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/90, 390/8156 is 38415.

LCM(985/90, 390/8156) = 38415

LCM of 985/90, 390/8156

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 985/90,390/8156

Given numbers are 985/90,390/8156

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 985,390

Least Common Multiple of Numerators i.e. LCM of 985,390 is 76830.

GCF of Denominators means GCF of 90,8156 as per the given fractions.

GCF of 90,8156 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,390

LCM of Fractions 985/90,390/8156 is 38415

5 985, 390
197, 78

∴ So the LCM of the given numbers is 5 x 197 x 78 = 76830

Least Common Multiple of 985,390 with GCF Formula

Least Common Multiple of 985,390 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 985,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,390) = 5

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

GCF(985,390) x common factors =5 x 1 = 5

LCM(985,390) = ( 985 × 390 ) / 5

LCM(985,390) = 384150 / 5

LCM(985,390) = 76830


Lets's calculate GCF of 90,8156

2 90, 8156
45, 4078

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76830/2

Therefore the LCM of Fractions 985/90,390/8156 is 38415

Greatest Common Factor of 90,8156 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,8156 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 8156

List of positive integer factors of 8156 that divides 8156 without a remainder.

1,2,4,2039,4078,8156

Greatest Common Factor

We found the factors 90,8156 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8156 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 985/90, 390/8156

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 985/90, 390/8156?

Answer: LCM of Numerators as per given numbers 985/90, 390/8156 is

LCM of Numerators i.e. for 985,390 is 76830

GCF of denominators i.e. for 90,8156 is 2.

Thus, LCM of Fractions is 38415.Finally, LCM of Fractions for 985/90, 390/8156 is 38415.