Least Common Multiple of 749/919, 4649/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 749/919, 4649/363 quickly i.e. 3482101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/919, 4649/363 is 3482101.

LCM(749/919, 4649/363) = 3482101

LCM of 749/919, 4649/363

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 749/919,4649/363

Given numbers are 749/919,4649/363

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 749,4649

Least Common Multiple of Numerators i.e. LCM of 749,4649 is 3482101.

GCF of Denominators means GCF of 919,363 as per the given fractions.

GCF of 919,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,4649

LCM of Fractions 749/919,4649/363 is 3482101

Given numbers has no common factors except 1. So, there LCM is their product i.e 3482101

Least Common Multiple of 749,4649 with GCF Formula

Least Common Multiple of 749,4649 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 749,4649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,4649) = 1

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

GCF(749,4649) x common factors =1 x 1 = 1

LCM(749,4649) = ( 749 × 4649 ) / 1

LCM(749,4649) = 3482101 / 1

LCM(749,4649) = 3482101


Lets's calculate GCF of 919,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3482101/1

Therefore the LCM of Fractions 749/919,4649/363 is 3482101

Greatest Common Factor of 919,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,363 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 919,363 . The biggest common factor number is the GCF number.
So the greatest common factor 919,363 is 1.


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 749/919, 4649/363

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 749/919, 4649/363?

Answer: LCM of Numerators as per given numbers 749/919, 4649/363 is

LCM of Numerators i.e. for 749,4649 is 3482101

GCF of denominators i.e. for 919,363 is 1.

Thus, LCM of Fractions is 3482101.Finally, LCM of Fractions for 749/919, 4649/363 is 3482101.