Least Common Multiple of 62/728, 4962/7800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/728, 4962/7800 quickly i.e. 153822/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/728, 4962/7800 is 153822/104.

LCM(62/728, 4962/7800) = 153822/104

LCM of 62/728, 4962/7800

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 62/728,4962/7800

Given numbers are 62/728,4962/7800

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 62,4962

Least Common Multiple of Numerators i.e. LCM of 62,4962 is 153822.

GCF of Denominators means GCF of 728,7800 as per the given fractions.

GCF of 728,7800 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,4962

LCM of Fractions 62/728,4962/7800 is 153822/104

2 62, 4962
31, 2481

∴ So the LCM of the given numbers is 2 x 31 x 2481 = 153822

Least Common Multiple of 62,4962 with GCF Formula

Least Common Multiple of 62,4962 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 62,4962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,4962) = 2

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

GCF(62,4962) x common factors =2 x 1 = 2

LCM(62,4962) = ( 62 × 4962 ) / 2

LCM(62,4962) = 307644 / 2

LCM(62,4962) = 153822


Lets's calculate GCF of 728,7800

2 728, 7800
2 364, 3900
2 182, 1950
13 91, 975
7, 75

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153822/104

Therefore the LCM of Fractions 62/728,4962/7800 is 153822/104

Greatest Common Factor of 728,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,7800 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 728,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 728,7800 is 104.


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 62/728, 4962/7800

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 62/728, 4962/7800?

Answer: LCM of Numerators as per given numbers 62/728, 4962/7800 is

LCM of Numerators i.e. for 62,4962 is 153822

GCF of denominators i.e. for 728,7800 is 104.

Thus, LCM of Fractions is 153822/104.Finally, LCM of Fractions for 62/728, 4962/7800 is 153822/104.