Least Common Multiple of 170/78, 502/72, 196/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 170/78, 502/72, 196/550 quickly i.e. 2090830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 170/78, 502/72, 196/550 is 2090830.

LCM(170/78, 502/72, 196/550) = 2090830

LCM of 170/78, 502/72, 196/550

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 170/78,502/72,196/550

Given numbers are 170/78,502/72,196/550

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 170,502,196

Least Common Multiple of Numerators i.e. LCM of 170,502,196 is 4181660.

GCF of Denominators means GCF of 78,72,550 as per the given fractions.

GCF of 78,72,550 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 170,502,196

LCM of Fractions 170/78,502/72,196/550 is 2090830

2 170, 502, 196
85, 251, 98

∴ So the LCM of the given numbers is 2 x 85 x 251 x 98 = 4181660

Least Common Multiple of 170,502,196 with GCF Formula

Least Common Multiple of 170,502,196 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 170,502,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,502,196) = 2

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

GCF(170,502,196) x common factors =2 x 2 = 4

LCM(170,502,196) = ( 170 × 502 × 196 ) / 4

LCM(170,502,196) = 16726640 / 4

LCM(170,502,196) = 4181660


Lets's calculate GCF of 78,72,550

2 78, 72, 550
39, 36, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4181660/2

Therefore the LCM of Fractions 170/78,502/72,196/550 is 2090830

Greatest Common Factor of 78,72,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,72,550 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 78,72,550 . The biggest common factor number is the GCF number.
So the greatest common factor 78,72,550 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 170/78, 502/72, 196/550

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 170/78, 502/72, 196/550?

Answer: LCM of Numerators as per given numbers 170/78, 502/72, 196/550 is

LCM of Numerators i.e. for 170,502,196 is 4181660

GCF of denominators i.e. for 78,72,550 is 2.

Thus, LCM of Fractions is 2090830.Finally, LCM of Fractions for 170/78, 502/72, 196/550 is 2090830.