Least Common Multiple of 16/265, 4870/4145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/265, 4870/4145 quickly i.e. 7792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/265, 4870/4145 is 7792.

LCM(16/265, 4870/4145) = 7792

LCM of 16/265, 4870/4145

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 16/265,4870/4145

Given numbers are 16/265,4870/4145

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 16,4870

Least Common Multiple of Numerators i.e. LCM of 16,4870 is 38960.

GCF of Denominators means GCF of 265,4145 as per the given fractions.

GCF of 265,4145 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,4870

LCM of Fractions 16/265,4870/4145 is 7792

2 16, 4870
8, 2435

∴ So the LCM of the given numbers is 2 x 8 x 2435 = 38960

Least Common Multiple of 16,4870 with GCF Formula

Least Common Multiple of 16,4870 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 16,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,4870) = 2

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

GCF(16,4870) x common factors =2 x 1 = 2

LCM(16,4870) = ( 16 × 4870 ) / 2

LCM(16,4870) = 77920 / 2

LCM(16,4870) = 38960


Lets's calculate GCF of 265,4145

5 265, 4145
53, 829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38960/5

Therefore the LCM of Fractions 16/265,4870/4145 is 7792

Greatest Common Factor of 265,4145 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,4145 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 4145

List of positive integer factors of 4145 that divides 4145 without a remainder.

1,5,829,4145

Greatest Common Factor

We found the factors 265,4145 . The biggest common factor number is the GCF number.
So the greatest common factor 265,4145 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/265, 4870/4145

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 16/265, 4870/4145?

Answer: LCM of Numerators as per given numbers 16/265, 4870/4145 is

LCM of Numerators i.e. for 16,4870 is 38960

GCF of denominators i.e. for 265,4145 is 5.

Thus, LCM of Fractions is 7792.Finally, LCM of Fractions for 16/265, 4870/4145 is 7792.