Least Common Multiple of 626/923, 7604/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 626/923, 7604/416 quickly i.e. 2380052/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/923, 7604/416 is 2380052/13.

LCM(626/923, 7604/416) = 2380052/13

LCM of 626/923, 7604/416

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 626/923,7604/416

Given numbers are 626/923,7604/416

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 626,7604

Least Common Multiple of Numerators i.e. LCM of 626,7604 is 2380052.

GCF of Denominators means GCF of 923,416 as per the given fractions.

GCF of 923,416 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,7604

LCM of Fractions 626/923,7604/416 is 2380052/13

2 626, 7604
313, 3802

∴ So the LCM of the given numbers is 2 x 313 x 3802 = 2380052

Least Common Multiple of 626,7604 with GCF Formula

Least Common Multiple of 626,7604 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 626,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,7604) = 2

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

GCF(626,7604) x common factors =2 x 1 = 2

LCM(626,7604) = ( 626 × 7604 ) / 2

LCM(626,7604) = 4760104 / 2

LCM(626,7604) = 2380052


Lets's calculate GCF of 923,416

13 923, 416
71, 32

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2380052/13

Therefore the LCM of Fractions 626/923,7604/416 is 2380052/13

Greatest Common Factor of 923,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,416 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 923,416 . The biggest common factor number is the GCF number.
So the greatest common factor 923,416 is 13.


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 626/923, 7604/416

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 626/923, 7604/416?

Answer: LCM of Numerators as per given numbers 626/923, 7604/416 is

LCM of Numerators i.e. for 626,7604 is 2380052

GCF of denominators i.e. for 923,416 is 13.

Thus, LCM of Fractions is 2380052/13.Finally, LCM of Fractions for 626/923, 7604/416 is 2380052/13.