Least Common Multiple of 24/354, 1249/3859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/354, 1249/3859 quickly i.e. 29976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/354, 1249/3859 is 29976.

LCM(24/354, 1249/3859) = 29976

LCM of 24/354, 1249/3859

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 24/354,1249/3859

Given numbers are 24/354,1249/3859

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 24,1249

Least Common Multiple of Numerators i.e. LCM of 24,1249 is 29976.

GCF of Denominators means GCF of 354,3859 as per the given fractions.

GCF of 354,3859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,1249

LCM of Fractions 24/354,1249/3859 is 29976

Given numbers has no common factors except 1. So, there LCM is their product i.e 29976

Least Common Multiple of 24,1249 with GCF Formula

Least Common Multiple of 24,1249 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 24,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,1249) = 1

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

GCF(24,1249) x common factors =1 x 1 = 1

LCM(24,1249) = ( 24 × 1249 ) / 1

LCM(24,1249) = 29976 / 1

LCM(24,1249) = 29976


Lets's calculate GCF of 354,3859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29976/1

Therefore the LCM of Fractions 24/354,1249/3859 is 29976

Greatest Common Factor of 354,3859 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,3859 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 3859

List of positive integer factors of 3859 that divides 3859 without a remainder.

1,17,227,3859

Greatest Common Factor

We found the factors 354,3859 . The biggest common factor number is the GCF number.
So the greatest common factor 354,3859 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/354, 1249/3859

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 24/354, 1249/3859?

Answer: LCM of Numerators as per given numbers 24/354, 1249/3859 is

LCM of Numerators i.e. for 24,1249 is 29976

GCF of denominators i.e. for 354,3859 is 1.

Thus, LCM of Fractions is 29976.Finally, LCM of Fractions for 24/354, 1249/3859 is 29976.