Least Common Multiple of 35/98, 560/90, 464/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/98, 560/90, 464/916 quickly i.e. 8120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/98, 560/90, 464/916 is 8120.

LCM(35/98, 560/90, 464/916) = 8120

LCM of 35/98, 560/90, 464/916

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 35/98,560/90,464/916

Given numbers are 35/98,560/90,464/916

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 35,560,464

Least Common Multiple of Numerators i.e. LCM of 35,560,464 is 16240.

GCF of Denominators means GCF of 98,90,916 as per the given fractions.

GCF of 98,90,916 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,560,464

LCM of Fractions 35/98,560/90,464/916 is 8120

2 35, 560, 464
2 35, 280, 232
2 35, 140, 116
2 35, 70, 58
5 35, 35, 29
7 7, 7, 29
1, 1, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 1 x 1 x 29 = 16240

Least Common Multiple of 35,560,464 with GCF Formula

Least Common Multiple of 35,560,464 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 35,560,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,560,464) = 1

common factors(in case of two or more numbers have common factors) = 560

GCF(35,560,464) x common factors =1 x 560 = 560

LCM(35,560,464) = ( 35 × 560 × 464 ) / 560

LCM(35,560,464) = 9094400 / 560

LCM(35,560,464) = 16240


Lets's calculate GCF of 98,90,916

2 98, 90, 916
49, 45, 458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16240/2

Therefore the LCM of Fractions 35/98,560/90,464/916 is 8120

Greatest Common Factor of 98,90,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,90,916 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

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 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 98,90,916 . The biggest common factor number is the GCF number.
So the greatest common factor 98,90,916 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 35/98, 560/90, 464/916

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 35/98, 560/90, 464/916?

Answer: LCM of Numerators as per given numbers 35/98, 560/90, 464/916 is

LCM of Numerators i.e. for 35,560,464 is 16240

GCF of denominators i.e. for 98,90,916 is 2.

Thus, LCM of Fractions is 8120.Finally, LCM of Fractions for 35/98, 560/90, 464/916 is 8120.