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LCM of 473, 111, 306, 342

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 473, 111, 306, 342 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 473, 111, 306, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,111,306,342

Given numbers are 473,111,306,342

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 473,111,306,342 is 101750814.

Find LCM of 473,111,306,342 with Prime Factorization


2 473, 111, 306, 342
3 473, 111, 153, 171
3 473, 37, 51, 57
473, 37, 17, 19

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 473 x 37 x 17 x 19 = 101750814

Therefore, the lowest common multiple of 473,111,306,342 is 101750814.

LCM Formula to Find Lowest Common Multiple of 473,111,306,342

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

473 x 111 x 306 x 342 = 5494543956

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

473 : 1, 11, 43, 473

111 : 1, 3, 37, 111

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,111,306,342, is 1.

Now, the common factors can be found like this.

473:11x 43

111:3x 37

306:2x 3x 3x 17

342:2x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 5494543956/(1x54)

LCM = 5494543956/54

LCM = 101750814

Thus, we can understand that the LCM of 473,111,306,342 is 101750814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 111, 306, 342

1. What is the LCM of 473, 111, 306, 342?

Answer: LCM of 473, 111, 306, 342 is 101750814.

2. How to calculate the LCM of 473, 111, 306, 342?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 473, 111, 306, 342.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.