Least Common Multiple of 62/820, 5112/7552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/820, 5112/7552 quickly i.e. 39618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/820, 5112/7552 is 39618.

LCM(62/820, 5112/7552) = 39618

LCM of 62/820, 5112/7552

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 62/820,5112/7552

Given numbers are 62/820,5112/7552

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 62,5112

Least Common Multiple of Numerators i.e. LCM of 62,5112 is 158472.

GCF of Denominators means GCF of 820,7552 as per the given fractions.

GCF of 820,7552 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,5112

LCM of Fractions 62/820,5112/7552 is 39618

2 62, 5112
31, 2556

∴ So the LCM of the given numbers is 2 x 31 x 2556 = 158472

Least Common Multiple of 62,5112 with GCF Formula

Least Common Multiple of 62,5112 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 62,5112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,5112) = 2

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

GCF(62,5112) x common factors =2 x 1 = 2

LCM(62,5112) = ( 62 × 5112 ) / 2

LCM(62,5112) = 316944 / 2

LCM(62,5112) = 158472


Lets's calculate GCF of 820,7552

2 820, 7552
2 410, 3776
205, 1888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158472/4

Therefore the LCM of Fractions 62/820,5112/7552 is 39618

Greatest Common Factor of 820,7552 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,7552 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 7552

List of positive integer factors of 7552 that divides 7552 without a remainder.

1,2,4,8,16,32,59,64,118,128,236,472,944,1888,3776,7552

Greatest Common Factor

We found the factors 820,7552 . The biggest common factor number is the GCF number.
So the greatest common factor 820,7552 is 4.


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 62/820, 5112/7552

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 62/820, 5112/7552?

Answer: LCM of Numerators as per given numbers 62/820, 5112/7552 is

LCM of Numerators i.e. for 62,5112 is 158472

GCF of denominators i.e. for 820,7552 is 4.

Thus, LCM of Fractions is 39618.Finally, LCM of Fractions for 62/820, 5112/7552 is 39618.