Least Common Multiple of 267/67, 499/4160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 267/67, 499/4160 quickly i.e. 133233 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/67, 499/4160 is 133233.

LCM(267/67, 499/4160) = 133233

LCM of 267/67, 499/4160

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 267/67,499/4160

Given numbers are 267/67,499/4160

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 267,499

Least Common Multiple of Numerators i.e. LCM of 267,499 is 133233.

GCF of Denominators means GCF of 67,4160 as per the given fractions.

GCF of 67,4160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,499

LCM of Fractions 267/67,499/4160 is 133233

Given numbers has no common factors except 1. So, there LCM is their product i.e 133233

Least Common Multiple of 267,499 with GCF Formula

Least Common Multiple of 267,499 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 267,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,499) = 1

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

GCF(267,499) x common factors =1 x 1 = 1

LCM(267,499) = ( 267 × 499 ) / 1

LCM(267,499) = 133233 / 1

LCM(267,499) = 133233


Lets's calculate GCF of 67,4160

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133233/1

Therefore the LCM of Fractions 267/67,499/4160 is 133233

Greatest Common Factor of 67,4160 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,4160 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 4160

List of positive integer factors of 4160 that divides 4160 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160

Greatest Common Factor

We found the factors 67,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 67,4160 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 267/67, 499/4160

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 267/67, 499/4160?

Answer: LCM of Numerators as per given numbers 267/67, 499/4160 is

LCM of Numerators i.e. for 267,499 is 133233

GCF of denominators i.e. for 67,4160 is 1.

Thus, LCM of Fractions is 133233.Finally, LCM of Fractions for 267/67, 499/4160 is 133233.