Least Common Multiple of 387/44, 706/7295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 387/44, 706/7295 quickly i.e. 273222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/44, 706/7295 is 273222.

LCM(387/44, 706/7295) = 273222

LCM of 387/44, 706/7295

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 387/44,706/7295

Given numbers are 387/44,706/7295

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 387,706

Least Common Multiple of Numerators i.e. LCM of 387,706 is 273222.

GCF of Denominators means GCF of 44,7295 as per the given fractions.

GCF of 44,7295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,706

LCM of Fractions 387/44,706/7295 is 273222

Given numbers has no common factors except 1. So, there LCM is their product i.e 273222

Least Common Multiple of 387,706 with GCF Formula

Least Common Multiple of 387,706 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 387,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,706) = 1

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

GCF(387,706) x common factors =1 x 1 = 1

LCM(387,706) = ( 387 × 706 ) / 1

LCM(387,706) = 273222 / 1

LCM(387,706) = 273222


Lets's calculate GCF of 44,7295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273222/1

Therefore the LCM of Fractions 387/44,706/7295 is 273222

Greatest Common Factor of 44,7295 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,7295 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Greatest Common Factor

We found the factors 44,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7295 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 387/44, 706/7295

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 387/44, 706/7295?

Answer: LCM of Numerators as per given numbers 387/44, 706/7295 is

LCM of Numerators i.e. for 387,706 is 273222

GCF of denominators i.e. for 44,7295 is 1.

Thus, LCM of Fractions is 273222.Finally, LCM of Fractions for 387/44, 706/7295 is 273222.