Least Common Multiple of 87/194, 296/616, 482/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/194, 296/616, 482/149 quickly i.e. 6206232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/194, 296/616, 482/149 is 6206232.

LCM(87/194, 296/616, 482/149) = 6206232

LCM of 87/194, 296/616, 482/149

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 87/194,296/616,482/149

Given numbers are 87/194,296/616,482/149

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 87,296,482

Least Common Multiple of Numerators i.e. LCM of 87,296,482 is 6206232.

GCF of Denominators means GCF of 194,616,149 as per the given fractions.

GCF of 194,616,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,296,482

LCM of Fractions 87/194,296/616,482/149 is 6206232

2 87, 296, 482
87, 148, 241

∴ So the LCM of the given numbers is 2 x 87 x 148 x 241 = 6206232

Least Common Multiple of 87,296,482 with GCF Formula

Least Common Multiple of 87,296,482 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 87,296,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,296,482) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,296,482) x common factors =1 x 2 = 2

LCM(87,296,482) = ( 87 × 296 × 482 ) / 2

LCM(87,296,482) = 12412464 / 2

LCM(87,296,482) = 6206232


Lets's calculate GCF of 194,616,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6206232/1

Therefore the LCM of Fractions 87/194,296/616,482/149 is 6206232

Greatest Common Factor of 194,616,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,616,149 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 194,616,149 . The biggest common factor number is the GCF number.
So the greatest common factor 194,616,149 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 87/194, 296/616, 482/149

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 87/194, 296/616, 482/149?

Answer: LCM of Numerators as per given numbers 87/194, 296/616, 482/149 is

LCM of Numerators i.e. for 87,296,482 is 6206232

GCF of denominators i.e. for 194,616,149 is 1.

Thus, LCM of Fractions is 6206232.Finally, LCM of Fractions for 87/194, 296/616, 482/149 is 6206232.