Least Common Multiple of 5854/158, 3132/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5854/158, 3132/480 quickly i.e. 4583682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5854/158, 3132/480 is 4583682.

LCM(5854/158, 3132/480) = 4583682

LCM of 5854/158, 3132/480

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 5854/158,3132/480

Given numbers are 5854/158,3132/480

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 5854,3132

Least Common Multiple of Numerators i.e. LCM of 5854,3132 is 9167364.

GCF of Denominators means GCF of 158,480 as per the given fractions.

GCF of 158,480 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5854,3132

LCM of Fractions 5854/158,3132/480 is 4583682

2 5854, 3132
2927, 1566

∴ So the LCM of the given numbers is 2 x 2927 x 1566 = 9167364

Least Common Multiple of 5854,3132 with GCF Formula

Least Common Multiple of 5854,3132 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 5854,3132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5854,3132) = 2

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

GCF(5854,3132) x common factors =2 x 1 = 2

LCM(5854,3132) = ( 5854 × 3132 ) / 2

LCM(5854,3132) = 18334728 / 2

LCM(5854,3132) = 9167364


Lets's calculate GCF of 158,480

2 158, 480
79, 240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9167364/2

Therefore the LCM of Fractions 5854/158,3132/480 is 4583682

Greatest Common Factor of 158,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,480 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 158,480 . The biggest common factor number is the GCF number.
So the greatest common factor 158,480 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 5854/158, 3132/480

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 5854/158, 3132/480?

Answer: LCM of Numerators as per given numbers 5854/158, 3132/480 is

LCM of Numerators i.e. for 5854,3132 is 9167364

GCF of denominators i.e. for 158,480 is 2.

Thus, LCM of Fractions is 4583682.Finally, LCM of Fractions for 5854/158, 3132/480 is 4583682.