Least Common Multiple of 448/799, 4844/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 448/799, 4844/149 quickly i.e. 77504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/799, 4844/149 is 77504.

LCM(448/799, 4844/149) = 77504

LCM of 448/799, 4844/149

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 448/799,4844/149

Given numbers are 448/799,4844/149

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 448,4844

Least Common Multiple of Numerators i.e. LCM of 448,4844 is 77504.

GCF of Denominators means GCF of 799,149 as per the given fractions.

GCF of 799,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,4844

LCM of Fractions 448/799,4844/149 is 77504

2 448, 4844
2 224, 2422
7 112, 1211
16, 173

∴ So the LCM of the given numbers is 2 x 2 x 7 x 16 x 173 = 77504

Least Common Multiple of 448,4844 with GCF Formula

Least Common Multiple of 448,4844 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 448,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,4844) = 28

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

GCF(448,4844) x common factors =28 x 1 = 28

LCM(448,4844) = ( 448 × 4844 ) / 28

LCM(448,4844) = 2170112 / 28

LCM(448,4844) = 77504


Lets's calculate GCF of 799,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77504/1

Therefore the LCM of Fractions 448/799,4844/149 is 77504

Greatest Common Factor of 799,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,149 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 799,149 . The biggest common factor number is the GCF number.
So the greatest common factor 799,149 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 448/799, 4844/149

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 448/799, 4844/149?

Answer: LCM of Numerators as per given numbers 448/799, 4844/149 is

LCM of Numerators i.e. for 448,4844 is 77504

GCF of denominators i.e. for 799,149 is 1.

Thus, LCM of Fractions is 77504.Finally, LCM of Fractions for 448/799, 4844/149 is 77504.