Least Common Multiple of 649/93, 407/3878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 649/93, 407/3878 quickly i.e. 24013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/93, 407/3878 is 24013.

LCM(649/93, 407/3878) = 24013

LCM of 649/93, 407/3878

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 649/93,407/3878

Given numbers are 649/93,407/3878

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 649,407

Least Common Multiple of Numerators i.e. LCM of 649,407 is 24013.

GCF of Denominators means GCF of 93,3878 as per the given fractions.

GCF of 93,3878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,407

LCM of Fractions 649/93,407/3878 is 24013

11 649, 407
59, 37

∴ So the LCM of the given numbers is 11 x 59 x 37 = 24013

Least Common Multiple of 649,407 with GCF Formula

Least Common Multiple of 649,407 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 649,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,407) = 11

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

GCF(649,407) x common factors =11 x 1 = 11

LCM(649,407) = ( 649 × 407 ) / 11

LCM(649,407) = 264143 / 11

LCM(649,407) = 24013


Lets's calculate GCF of 93,3878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24013/1

Therefore the LCM of Fractions 649/93,407/3878 is 24013

Greatest Common Factor of 93,3878 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,3878 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1,2,7,14,277,554,1939,3878

Greatest Common Factor

We found the factors 93,3878 . The biggest common factor number is the GCF number.
So the greatest common factor 93,3878 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 649/93, 407/3878

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 649/93, 407/3878?

Answer: LCM of Numerators as per given numbers 649/93, 407/3878 is

LCM of Numerators i.e. for 649,407 is 24013

GCF of denominators i.e. for 93,3878 is 1.

Thus, LCM of Fractions is 24013.Finally, LCM of Fractions for 649/93, 407/3878 is 24013.