Least Common Multiple of 73/267, 758/978, 971/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/267, 758/978, 971/459 quickly i.e. 53729314/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/267, 758/978, 971/459 is 53729314/3.

LCM(73/267, 758/978, 971/459) = 53729314/3

LCM of 73/267, 758/978, 971/459

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 73/267,758/978,971/459

Given numbers are 73/267,758/978,971/459

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 73,758,971

Least Common Multiple of Numerators i.e. LCM of 73,758,971 is 53729314.

GCF of Denominators means GCF of 267,978,459 as per the given fractions.

GCF of 267,978,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,758,971

LCM of Fractions 73/267,758/978,971/459 is 53729314/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 53729314

Least Common Multiple of 73,758,971 with GCF Formula

Least Common Multiple of 73,758,971 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 73,758,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,758,971) = 1

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

GCF(73,758,971) x common factors =1 x 1 = 1

LCM(73,758,971) = ( 73 × 758 × 971 ) / 1

LCM(73,758,971) = 53729314 / 1

LCM(73,758,971) = 53729314


Lets's calculate GCF of 267,978,459

3 267, 978, 459
89, 326, 153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53729314/3

Therefore the LCM of Fractions 73/267,758/978,971/459 is 53729314/3

Greatest Common Factor of 267,978,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,978,459 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 267,978,459 . The biggest common factor number is the GCF number.
So the greatest common factor 267,978,459 is 3.


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 73/267, 758/978, 971/459

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 73/267, 758/978, 971/459?

Answer: LCM of Numerators as per given numbers 73/267, 758/978, 971/459 is

LCM of Numerators i.e. for 73,758,971 is 53729314

GCF of denominators i.e. for 267,978,459 is 3.

Thus, LCM of Fractions is 53729314/3.Finally, LCM of Fractions for 73/267, 758/978, 971/459 is 53729314/3.