Least Common Multiple of 218/64, 133/52, 760/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/64, 133/52, 760/412 quickly i.e. 144970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/64, 133/52, 760/412 is 144970.

LCM(218/64, 133/52, 760/412) = 144970

LCM of 218/64, 133/52, 760/412

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 218/64,133/52,760/412

Given numbers are 218/64,133/52,760/412

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 218,133,760

Least Common Multiple of Numerators i.e. LCM of 218,133,760 is 579880.

GCF of Denominators means GCF of 64,52,412 as per the given fractions.

GCF of 64,52,412 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,133,760

LCM of Fractions 218/64,133/52,760/412 is 144970

2 218, 133, 760
19 109, 133, 380
109, 7, 20

∴ So the LCM of the given numbers is 2 x 19 x 109 x 7 x 20 = 579880

Least Common Multiple of 218,133,760 with GCF Formula

Least Common Multiple of 218,133,760 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 218,133,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,133,760) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(218,133,760) x common factors =1 x 38 = 38

LCM(218,133,760) = ( 218 × 133 × 760 ) / 38

LCM(218,133,760) = 22035440 / 38

LCM(218,133,760) = 579880


Lets's calculate GCF of 64,52,412

2 64, 52, 412
2 32, 26, 206
16, 13, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579880/4

Therefore the LCM of Fractions 218/64,133/52,760/412 is 144970

Greatest Common Factor of 64,52,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,52,412 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 64,52,412 . The biggest common factor number is the GCF number.
So the greatest common factor 64,52,412 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 218/64, 133/52, 760/412

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 218/64, 133/52, 760/412?

Answer: LCM of Numerators as per given numbers 218/64, 133/52, 760/412 is

LCM of Numerators i.e. for 218,133,760 is 579880

GCF of denominators i.e. for 64,52,412 is 4.

Thus, LCM of Fractions is 144970.Finally, LCM of Fractions for 218/64, 133/52, 760/412 is 144970.