Least Common Multiple of 49/387, 123/210, 506/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/387, 123/210, 506/444 quickly i.e. 1016554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/387, 123/210, 506/444 is 1016554.

LCM(49/387, 123/210, 506/444) = 1016554

LCM of 49/387, 123/210, 506/444

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 49/387,123/210,506/444

Given numbers are 49/387,123/210,506/444

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 49,123,506

Least Common Multiple of Numerators i.e. LCM of 49,123,506 is 3049662.

GCF of Denominators means GCF of 387,210,444 as per the given fractions.

GCF of 387,210,444 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,123,506

LCM of Fractions 49/387,123/210,506/444 is 1016554

Given numbers has no common factors except 1. So, there LCM is their product i.e 3049662

Least Common Multiple of 49,123,506 with GCF Formula

Least Common Multiple of 49,123,506 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 49,123,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,123,506) = 1

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

GCF(49,123,506) x common factors =1 x 1 = 1

LCM(49,123,506) = ( 49 × 123 × 506 ) / 1

LCM(49,123,506) = 3049662 / 1

LCM(49,123,506) = 3049662


Lets's calculate GCF of 387,210,444

3 387, 210, 444
129, 70, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3049662/3

Therefore the LCM of Fractions 49/387,123/210,506/444 is 1016554

Greatest Common Factor of 387,210,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,210,444 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 387,210,444 . The biggest common factor number is the GCF number.
So the greatest common factor 387,210,444 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 49/387, 123/210, 506/444

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 49/387, 123/210, 506/444?

Answer: LCM of Numerators as per given numbers 49/387, 123/210, 506/444 is

LCM of Numerators i.e. for 49,123,506 is 3049662

GCF of denominators i.e. for 387,210,444 is 3.

Thus, LCM of Fractions is 1016554.Finally, LCM of Fractions for 49/387, 123/210, 506/444 is 1016554.