Least Common Multiple of 98/730, 78/300, 170/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/730, 78/300, 170/787 quickly i.e. 324870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/730, 78/300, 170/787 is 324870.

LCM(98/730, 78/300, 170/787) = 324870

LCM of 98/730, 78/300, 170/787

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 98/730,78/300,170/787

Given numbers are 98/730,78/300,170/787

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 98,78,170

Least Common Multiple of Numerators i.e. LCM of 98,78,170 is 324870.

GCF of Denominators means GCF of 730,300,787 as per the given fractions.

GCF of 730,300,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,78,170

LCM of Fractions 98/730,78/300,170/787 is 324870

2 98, 78, 170
49, 39, 85

∴ So the LCM of the given numbers is 2 x 49 x 39 x 85 = 324870

Least Common Multiple of 98,78,170 with GCF Formula

Least Common Multiple of 98,78,170 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 98,78,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,78,170) = 2

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

GCF(98,78,170) x common factors =2 x 2 = 4

LCM(98,78,170) = ( 98 × 78 × 170 ) / 4

LCM(98,78,170) = 1299480 / 4

LCM(98,78,170) = 324870


Lets's calculate GCF of 730,300,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324870/1

Therefore the LCM of Fractions 98/730,78/300,170/787 is 324870

Greatest Common Factor of 730,300,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,300,787 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 730,300,787 . The biggest common factor number is the GCF number.
So the greatest common factor 730,300,787 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 98/730, 78/300, 170/787

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 98/730, 78/300, 170/787?

Answer: LCM of Numerators as per given numbers 98/730, 78/300, 170/787 is

LCM of Numerators i.e. for 98,78,170 is 324870

GCF of denominators i.e. for 730,300,787 is 1.

Thus, LCM of Fractions is 324870.Finally, LCM of Fractions for 98/730, 78/300, 170/787 is 324870.