Least Common Multiple of 53/360, 509/134, 762/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/360, 509/134, 762/362 quickly i.e. 10278237 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/360, 509/134, 762/362 is 10278237.

LCM(53/360, 509/134, 762/362) = 10278237

LCM of 53/360, 509/134, 762/362

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 53/360,509/134,762/362

Given numbers are 53/360,509/134,762/362

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 53,509,762

Least Common Multiple of Numerators i.e. LCM of 53,509,762 is 20556474.

GCF of Denominators means GCF of 360,134,362 as per the given fractions.

GCF of 360,134,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,509,762

LCM of Fractions 53/360,509/134,762/362 is 10278237

Given numbers has no common factors except 1. So, there LCM is their product i.e 20556474

Least Common Multiple of 53,509,762 with GCF Formula

Least Common Multiple of 53,509,762 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 53,509,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,509,762) = 1

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

GCF(53,509,762) x common factors =1 x 1 = 1

LCM(53,509,762) = ( 53 × 509 × 762 ) / 1

LCM(53,509,762) = 20556474 / 1

LCM(53,509,762) = 20556474


Lets's calculate GCF of 360,134,362

2 360, 134, 362
180, 67, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20556474/2

Therefore the LCM of Fractions 53/360,509/134,762/362 is 10278237

Greatest Common Factor of 360,134,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,134,362 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 360,134,362 . The biggest common factor number is the GCF number.
So the greatest common factor 360,134,362 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 53/360, 509/134, 762/362

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 53/360, 509/134, 762/362?

Answer: LCM of Numerators as per given numbers 53/360, 509/134, 762/362 is

LCM of Numerators i.e. for 53,509,762 is 20556474

GCF of denominators i.e. for 360,134,362 is 2.

Thus, LCM of Fractions is 10278237.Finally, LCM of Fractions for 53/360, 509/134, 762/362 is 10278237.