Least Common Multiple of 35/45, 32/76, 998/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/45, 32/76, 998/814 quickly i.e. 558880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/45, 32/76, 998/814 is 558880.

LCM(35/45, 32/76, 998/814) = 558880

LCM of 35/45, 32/76, 998/814

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 35/45,32/76,998/814

Given numbers are 35/45,32/76,998/814

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 35,32,998

Least Common Multiple of Numerators i.e. LCM of 35,32,998 is 558880.

GCF of Denominators means GCF of 45,76,814 as per the given fractions.

GCF of 45,76,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,32,998

LCM of Fractions 35/45,32/76,998/814 is 558880

2 35, 32, 998
35, 16, 499

∴ So the LCM of the given numbers is 2 x 35 x 16 x 499 = 558880

Least Common Multiple of 35,32,998 with GCF Formula

Least Common Multiple of 35,32,998 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 35,32,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,32,998) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(35,32,998) x common factors =1 x 2 = 2

LCM(35,32,998) = ( 35 × 32 × 998 ) / 2

LCM(35,32,998) = 1117760 / 2

LCM(35,32,998) = 558880


Lets's calculate GCF of 45,76,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 558880/1

Therefore the LCM of Fractions 35/45,32/76,998/814 is 558880

Greatest Common Factor of 45,76,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,76,814 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 45,76,814 . The biggest common factor number is the GCF number.
So the greatest common factor 45,76,814 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 35/45, 32/76, 998/814

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 35/45, 32/76, 998/814?

Answer: LCM of Numerators as per given numbers 35/45, 32/76, 998/814 is

LCM of Numerators i.e. for 35,32,998 is 558880

GCF of denominators i.e. for 45,76,814 is 1.

Thus, LCM of Fractions is 558880.Finally, LCM of Fractions for 35/45, 32/76, 998/814 is 558880.