Least Common Multiple of 449/616, 7488/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/616, 7488/752 quickly i.e. 420264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/616, 7488/752 is 420264.

LCM(449/616, 7488/752) = 420264

LCM of 449/616, 7488/752

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 449/616,7488/752

Given numbers are 449/616,7488/752

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 449,7488

Least Common Multiple of Numerators i.e. LCM of 449,7488 is 3362112.

GCF of Denominators means GCF of 616,752 as per the given fractions.

GCF of 616,752 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,7488

LCM of Fractions 449/616,7488/752 is 420264

Given numbers has no common factors except 1. So, there LCM is their product i.e 3362112

Least Common Multiple of 449,7488 with GCF Formula

Least Common Multiple of 449,7488 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 449,7488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,7488) = 1

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

GCF(449,7488) x common factors =1 x 1 = 1

LCM(449,7488) = ( 449 × 7488 ) / 1

LCM(449,7488) = 3362112 / 1

LCM(449,7488) = 3362112


Lets's calculate GCF of 616,752

2 616, 752
2 308, 376
2 154, 188
77, 94

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3362112/8

Therefore the LCM of Fractions 449/616,7488/752 is 420264

Greatest Common Factor of 616,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,752 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 616,752 . The biggest common factor number is the GCF number.
So the greatest common factor 616,752 is 8.


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 449/616, 7488/752

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 449/616, 7488/752?

Answer: LCM of Numerators as per given numbers 449/616, 7488/752 is

LCM of Numerators i.e. for 449,7488 is 3362112

GCF of denominators i.e. for 616,752 is 8.

Thus, LCM of Fractions is 420264.Finally, LCM of Fractions for 449/616, 7488/752 is 420264.