Least Common Multiple of 15/145, 7882/4460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 15/145, 7882/4460 quickly i.e. 23646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/145, 7882/4460 is 23646.

LCM(15/145, 7882/4460) = 23646

LCM of 15/145, 7882/4460

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 15/145,7882/4460

Given numbers are 15/145,7882/4460

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 15,7882

Least Common Multiple of Numerators i.e. LCM of 15,7882 is 118230.

GCF of Denominators means GCF of 145,4460 as per the given fractions.

GCF of 145,4460 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,7882

LCM of Fractions 15/145,7882/4460 is 23646

Given numbers has no common factors except 1. So, there LCM is their product i.e 118230

Least Common Multiple of 15,7882 with GCF Formula

Least Common Multiple of 15,7882 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 15,7882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,7882) = 1

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

GCF(15,7882) x common factors =1 x 1 = 1

LCM(15,7882) = ( 15 × 7882 ) / 1

LCM(15,7882) = 118230 / 1

LCM(15,7882) = 118230


Lets's calculate GCF of 145,4460

5 145, 4460
29, 892

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118230/5

Therefore the LCM of Fractions 15/145,7882/4460 is 23646

Greatest Common Factor of 145,4460 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,4460 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1,2,4,5,10,20,223,446,892,1115,2230,4460

Greatest Common Factor

We found the factors 145,4460 . The biggest common factor number is the GCF number.
So the greatest common factor 145,4460 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 15/145, 7882/4460

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 15/145, 7882/4460?

Answer: LCM of Numerators as per given numbers 15/145, 7882/4460 is

LCM of Numerators i.e. for 15,7882 is 118230

GCF of denominators i.e. for 145,4460 is 5.

Thus, LCM of Fractions is 23646.Finally, LCM of Fractions for 15/145, 7882/4460 is 23646.