Least Common Multiple of 65/212, 7703/3520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/212, 7703/3520 quickly i.e. 500695/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/212, 7703/3520 is 500695/4.

LCM(65/212, 7703/3520) = 500695/4

LCM of 65/212, 7703/3520

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 65/212,7703/3520

Given numbers are 65/212,7703/3520

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 65,7703

Least Common Multiple of Numerators i.e. LCM of 65,7703 is 500695.

GCF of Denominators means GCF of 212,3520 as per the given fractions.

GCF of 212,3520 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,7703

LCM of Fractions 65/212,7703/3520 is 500695/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 500695

Least Common Multiple of 65,7703 with GCF Formula

Least Common Multiple of 65,7703 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 65,7703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,7703) = 1

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

GCF(65,7703) x common factors =1 x 1 = 1

LCM(65,7703) = ( 65 × 7703 ) / 1

LCM(65,7703) = 500695 / 1

LCM(65,7703) = 500695


Lets's calculate GCF of 212,3520

2 212, 3520
2 106, 1760
53, 880

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500695/4

Therefore the LCM of Fractions 65/212,7703/3520 is 500695/4

Greatest Common Factor of 212,3520 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,3520 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

Greatest Common Factor

We found the factors 212,3520 . The biggest common factor number is the GCF number.
So the greatest common factor 212,3520 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 65/212, 7703/3520

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 65/212, 7703/3520?

Answer: LCM of Numerators as per given numbers 65/212, 7703/3520 is

LCM of Numerators i.e. for 65,7703 is 500695

GCF of denominators i.e. for 212,3520 is 4.

Thus, LCM of Fractions is 500695/4.Finally, LCM of Fractions for 65/212, 7703/3520 is 500695/4.