Least Common Multiple of 626/612, 5354/9964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 626/612, 5354/9964 quickly i.e. 1675802/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/612, 5354/9964 is 1675802/4.

LCM(626/612, 5354/9964) = 1675802/4

LCM of 626/612, 5354/9964

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 626/612,5354/9964

Given numbers are 626/612,5354/9964

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 626,5354

Least Common Multiple of Numerators i.e. LCM of 626,5354 is 1675802.

GCF of Denominators means GCF of 612,9964 as per the given fractions.

GCF of 612,9964 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,5354

LCM of Fractions 626/612,5354/9964 is 1675802/4

2 626, 5354
313, 2677

∴ So the LCM of the given numbers is 2 x 313 x 2677 = 1675802

Least Common Multiple of 626,5354 with GCF Formula

Least Common Multiple of 626,5354 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 626,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,5354) = 2

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

GCF(626,5354) x common factors =2 x 1 = 2

LCM(626,5354) = ( 626 × 5354 ) / 2

LCM(626,5354) = 3351604 / 2

LCM(626,5354) = 1675802


Lets's calculate GCF of 612,9964

2 612, 9964
2 306, 4982
153, 2491

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1675802/4

Therefore the LCM of Fractions 626/612,5354/9964 is 1675802/4

Greatest Common Factor of 612,9964 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,9964 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 9964

List of positive integer factors of 9964 that divides 9964 without a remainder.

1,2,4,47,53,94,106,188,212,2491,4982,9964

Greatest Common Factor

We found the factors 612,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 612,9964 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 626/612, 5354/9964

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 626/612, 5354/9964?

Answer: LCM of Numerators as per given numbers 626/612, 5354/9964 is

LCM of Numerators i.e. for 626,5354 is 1675802

GCF of denominators i.e. for 612,9964 is 4.

Thus, LCM of Fractions is 1675802/4.Finally, LCM of Fractions for 626/612, 5354/9964 is 1675802/4.