Least Common Multiple of 1520/608, 9464/4488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1520/608, 9464/4488 quickly i.e. 224770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1520/608, 9464/4488 is 224770.

LCM(1520/608, 9464/4488) = 224770

LCM of 1520/608, 9464/4488

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 1520/608,9464/4488

Given numbers are 1520/608,9464/4488

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 1520,9464

Least Common Multiple of Numerators i.e. LCM of 1520,9464 is 1798160.

GCF of Denominators means GCF of 608,4488 as per the given fractions.

GCF of 608,4488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1520,9464

LCM of Fractions 1520/608,9464/4488 is 224770

2 1520, 9464
2 760, 4732
2 380, 2366
190, 1183

∴ So the LCM of the given numbers is 2 x 2 x 2 x 190 x 1183 = 1798160

Least Common Multiple of 1520,9464 with GCF Formula

Least Common Multiple of 1520,9464 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 1520,9464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1520,9464) = 8

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

GCF(1520,9464) x common factors =8 x 1 = 8

LCM(1520,9464) = ( 1520 × 9464 ) / 8

LCM(1520,9464) = 14385280 / 8

LCM(1520,9464) = 1798160


Lets's calculate GCF of 608,4488

2 608, 4488
2 304, 2244
2 152, 1122
76, 561

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1798160/8

Therefore the LCM of Fractions 1520/608,9464/4488 is 224770

Greatest Common Factor of 608,4488 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,4488 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488

Greatest Common Factor

We found the factors 608,4488 . The biggest common factor number is the GCF number.
So the greatest common factor 608,4488 is 8.


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 1520/608, 9464/4488

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 1520/608, 9464/4488?

Answer: LCM of Numerators as per given numbers 1520/608, 9464/4488 is

LCM of Numerators i.e. for 1520,9464 is 1798160

GCF of denominators i.e. for 608,4488 is 8.

Thus, LCM of Fractions is 224770.Finally, LCM of Fractions for 1520/608, 9464/4488 is 224770.