Least Common Multiple of 62/53, 92/303, 322/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/53, 92/303, 322/460 quickly i.e. 19964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/53, 92/303, 322/460 is 19964.

LCM(62/53, 92/303, 322/460) = 19964

LCM of 62/53, 92/303, 322/460

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 62/53,92/303,322/460

Given numbers are 62/53,92/303,322/460

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 62,92,322

Least Common Multiple of Numerators i.e. LCM of 62,92,322 is 19964.

GCF of Denominators means GCF of 53,303,460 as per the given fractions.

GCF of 53,303,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,92,322

LCM of Fractions 62/53,92/303,322/460 is 19964

2 62, 92, 322
23 31, 46, 161
31, 2, 7

∴ So the LCM of the given numbers is 2 x 23 x 31 x 2 x 7 = 19964

Least Common Multiple of 62,92,322 with GCF Formula

Least Common Multiple of 62,92,322 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 62,92,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,92,322) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(62,92,322) x common factors =2 x 46 = 92

LCM(62,92,322) = ( 62 × 92 × 322 ) / 92

LCM(62,92,322) = 1836688 / 92

LCM(62,92,322) = 19964


Lets's calculate GCF of 53,303,460

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19964/1

Therefore the LCM of Fractions 62/53,92/303,322/460 is 19964

Greatest Common Factor of 53,303,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,303,460 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 53,303,460 . The biggest common factor number is the GCF number.
So the greatest common factor 53,303,460 is 1.


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 62/53, 92/303, 322/460

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 62/53, 92/303, 322/460?

Answer: LCM of Numerators as per given numbers 62/53, 92/303, 322/460 is

LCM of Numerators i.e. for 62,92,322 is 19964

GCF of denominators i.e. for 53,303,460 is 1.

Thus, LCM of Fractions is 19964.Finally, LCM of Fractions for 62/53, 92/303, 322/460 is 19964.