Least Common Multiple of 387/22, 377/67, 479/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/22, 377/67, 479/917 quickly i.e. 69885621 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/22, 377/67, 479/917 is 69885621.

LCM(387/22, 377/67, 479/917) = 69885621

LCM of 387/22, 377/67, 479/917

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 387/22,377/67,479/917

Given numbers are 387/22,377/67,479/917

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 387,377,479

Least Common Multiple of Numerators i.e. LCM of 387,377,479 is 69885621.

GCF of Denominators means GCF of 22,67,917 as per the given fractions.

GCF of 22,67,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,377,479

LCM of Fractions 387/22,377/67,479/917 is 69885621

Given numbers has no common factors except 1. So, there LCM is their product i.e 69885621

Least Common Multiple of 387,377,479 with GCF Formula

Least Common Multiple of 387,377,479 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 387,377,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,377,479) = 1

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

GCF(387,377,479) x common factors =1 x 1 = 1

LCM(387,377,479) = ( 387 × 377 × 479 ) / 1

LCM(387,377,479) = 69885621 / 1

LCM(387,377,479) = 69885621


Lets's calculate GCF of 22,67,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69885621/1

Therefore the LCM of Fractions 387/22,377/67,479/917 is 69885621

Greatest Common Factor of 22,67,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,67,917 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 67

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

1,67

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 22,67,917 . The biggest common factor number is the GCF number.
So the greatest common factor 22,67,917 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 387/22, 377/67, 479/917

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 387/22, 377/67, 479/917?

Answer: LCM of Numerators as per given numbers 387/22, 377/67, 479/917 is

LCM of Numerators i.e. for 387,377,479 is 69885621

GCF of denominators i.e. for 22,67,917 is 1.

Thus, LCM of Fractions is 69885621.Finally, LCM of Fractions for 387/22, 377/67, 479/917 is 69885621.