Least Common Multiple of 198/160, 7614/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 198/160, 7614/570 quickly i.e. 83754/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 198/160, 7614/570 is 83754/10.

LCM(198/160, 7614/570) = 83754/10

LCM of 198/160, 7614/570

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 198/160,7614/570

Given numbers are 198/160,7614/570

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 198,7614

Least Common Multiple of Numerators i.e. LCM of 198,7614 is 83754.

GCF of Denominators means GCF of 160,570 as per the given fractions.

GCF of 160,570 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 198,7614

LCM of Fractions 198/160,7614/570 is 83754/10

2 198, 7614
3 99, 3807
3 33, 1269
11, 423

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 423 = 83754

Least Common Multiple of 198,7614 with GCF Formula

Least Common Multiple of 198,7614 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 198,7614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,7614) = 18

common factors(in case of two or more numbers have common factors) = 1

GCF(198,7614) x common factors =18 x 1 = 18

LCM(198,7614) = ( 198 × 7614 ) / 18

LCM(198,7614) = 1507572 / 18

LCM(198,7614) = 83754


Lets's calculate GCF of 160,570

2 160, 570
5 80, 285
16, 57

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83754/10

Therefore the LCM of Fractions 198/160,7614/570 is 83754/10

Greatest Common Factor of 160,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,570 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 160,570 . The biggest common factor number is the GCF number.
So the greatest common factor 160,570 is 10.


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 198/160, 7614/570

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 198/160, 7614/570?

Answer: LCM of Numerators as per given numbers 198/160, 7614/570 is

LCM of Numerators i.e. for 198,7614 is 83754

GCF of denominators i.e. for 160,570 is 10.

Thus, LCM of Fractions is 83754/10.Finally, LCM of Fractions for 198/160, 7614/570 is 83754/10.