Least Common Multiple of 763/48, 165/80, 170/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/48, 165/80, 170/98 quickly i.e. 2140215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/48, 165/80, 170/98 is 2140215.

LCM(763/48, 165/80, 170/98) = 2140215

LCM of 763/48, 165/80, 170/98

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 763/48,165/80,170/98

Given numbers are 763/48,165/80,170/98

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 763,165,170

Least Common Multiple of Numerators i.e. LCM of 763,165,170 is 4280430.

GCF of Denominators means GCF of 48,80,98 as per the given fractions.

GCF of 48,80,98 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,165,170

LCM of Fractions 763/48,165/80,170/98 is 2140215

5 763, 165, 170
763, 33, 34

∴ So the LCM of the given numbers is 5 x 763 x 33 x 34 = 4280430

Least Common Multiple of 763,165,170 with GCF Formula

Least Common Multiple of 763,165,170 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 763,165,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,165,170) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(763,165,170) x common factors =1 x 5 = 5

LCM(763,165,170) = ( 763 × 165 × 170 ) / 5

LCM(763,165,170) = 21402150 / 5

LCM(763,165,170) = 4280430


Lets's calculate GCF of 48,80,98

2 48, 80, 98
24, 40, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4280430/2

Therefore the LCM of Fractions 763/48,165/80,170/98 is 2140215

Greatest Common Factor of 48,80,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,80,98 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 98

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

1,2,7,14,49,98

Greatest Common Factor

We found the factors 48,80,98 . The biggest common factor number is the GCF number.
So the greatest common factor 48,80,98 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 763/48, 165/80, 170/98

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 763/48, 165/80, 170/98?

Answer: LCM of Numerators as per given numbers 763/48, 165/80, 170/98 is

LCM of Numerators i.e. for 763,165,170 is 4280430

GCF of denominators i.e. for 48,80,98 is 2.

Thus, LCM of Fractions is 2140215.Finally, LCM of Fractions for 763/48, 165/80, 170/98 is 2140215.