Least Common Multiple of 133/64, 492/90, 350/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/64, 492/90, 350/342 quickly i.e. 817950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/64, 492/90, 350/342 is 817950.

LCM(133/64, 492/90, 350/342) = 817950

LCM of 133/64, 492/90, 350/342

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 133/64,492/90,350/342

Given numbers are 133/64,492/90,350/342

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 133,492,350

Least Common Multiple of Numerators i.e. LCM of 133,492,350 is 1635900.

GCF of Denominators means GCF of 64,90,342 as per the given fractions.

GCF of 64,90,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,492,350

LCM of Fractions 133/64,492/90,350/342 is 817950

2 133, 492, 350
7 133, 246, 175
19, 246, 25

∴ So the LCM of the given numbers is 2 x 7 x 19 x 246 x 25 = 1635900

Least Common Multiple of 133,492,350 with GCF Formula

Least Common Multiple of 133,492,350 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 133,492,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,492,350) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(133,492,350) x common factors =1 x 14 = 14

LCM(133,492,350) = ( 133 × 492 × 350 ) / 14

LCM(133,492,350) = 22902600 / 14

LCM(133,492,350) = 1635900


Lets's calculate GCF of 64,90,342

2 64, 90, 342
32, 45, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1635900/2

Therefore the LCM of Fractions 133/64,492/90,350/342 is 817950

Greatest Common Factor of 64,90,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,90,342 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 64,90,342 . The biggest common factor number is the GCF number.
So the greatest common factor 64,90,342 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 133/64, 492/90, 350/342

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 133/64, 492/90, 350/342?

Answer: LCM of Numerators as per given numbers 133/64, 492/90, 350/342 is

LCM of Numerators i.e. for 133,492,350 is 1635900

GCF of denominators i.e. for 64,90,342 is 2.

Thus, LCM of Fractions is 817950.Finally, LCM of Fractions for 133/64, 492/90, 350/342 is 817950.