Least Common Multiple of 682/32, 4708/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/32, 4708/530 quickly i.e. 72974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/32, 4708/530 is 72974.

LCM(682/32, 4708/530) = 72974

LCM of 682/32, 4708/530

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 682/32,4708/530

Given numbers are 682/32,4708/530

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 682,4708

Least Common Multiple of Numerators i.e. LCM of 682,4708 is 145948.

GCF of Denominators means GCF of 32,530 as per the given fractions.

GCF of 32,530 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,4708

LCM of Fractions 682/32,4708/530 is 72974

2 682, 4708
11 341, 2354
31, 214

∴ So the LCM of the given numbers is 2 x 11 x 31 x 214 = 145948

Least Common Multiple of 682,4708 with GCF Formula

Least Common Multiple of 682,4708 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 682,4708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,4708) = 22

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

GCF(682,4708) x common factors =22 x 1 = 22

LCM(682,4708) = ( 682 × 4708 ) / 22

LCM(682,4708) = 3210856 / 22

LCM(682,4708) = 145948


Lets's calculate GCF of 32,530

2 32, 530
16, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145948/2

Therefore the LCM of Fractions 682/32,4708/530 is 72974

Greatest Common Factor of 32,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,530 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 32,530 . The biggest common factor number is the GCF number.
So the greatest common factor 32,530 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 682/32, 4708/530

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 682/32, 4708/530?

Answer: LCM of Numerators as per given numbers 682/32, 4708/530 is

LCM of Numerators i.e. for 682,4708 is 145948

GCF of denominators i.e. for 32,530 is 2.

Thus, LCM of Fractions is 72974.Finally, LCM of Fractions for 682/32, 4708/530 is 72974.