Least Common Multiple of 820/62, 7601/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/62, 7601/352 quickly i.e. 3116410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/62, 7601/352 is 3116410.

LCM(820/62, 7601/352) = 3116410

LCM of 820/62, 7601/352

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 820/62,7601/352

Given numbers are 820/62,7601/352

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 820,7601

Least Common Multiple of Numerators i.e. LCM of 820,7601 is 6232820.

GCF of Denominators means GCF of 62,352 as per the given fractions.

GCF of 62,352 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,7601

LCM of Fractions 820/62,7601/352 is 3116410

Given numbers has no common factors except 1. So, there LCM is their product i.e 6232820

Least Common Multiple of 820,7601 with GCF Formula

Least Common Multiple of 820,7601 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 820,7601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,7601) = 1

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

GCF(820,7601) x common factors =1 x 1 = 1

LCM(820,7601) = ( 820 × 7601 ) / 1

LCM(820,7601) = 6232820 / 1

LCM(820,7601) = 6232820


Lets's calculate GCF of 62,352

2 62, 352
31, 176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6232820/2

Therefore the LCM of Fractions 820/62,7601/352 is 3116410

Greatest Common Factor of 62,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,352 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 62,352 . The biggest common factor number is the GCF number.
So the greatest common factor 62,352 is 2.


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 820/62, 7601/352

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 820/62, 7601/352?

Answer: LCM of Numerators as per given numbers 820/62, 7601/352 is

LCM of Numerators i.e. for 820,7601 is 6232820

GCF of denominators i.e. for 62,352 is 2.

Thus, LCM of Fractions is 3116410.Finally, LCM of Fractions for 820/62, 7601/352 is 3116410.