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LCM of 345, 472, 111, 455, 711

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


Find the LCM of 345, 472, 111, 455, 711 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 345, 472, 111, 455, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,472,111,455,711

Given numbers are 345,472,111,455,711

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

The LCM of 345,472,111,455,711 is 129942900360.

Find LCM of 345,472,111,455,711 with Prime Factorization


3 345, 472, 111, 455, 711
5 115, 472, 37, 455, 237
23, 472, 37, 91, 237

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

3 x 5 x 23 x 472 x 37 x 91 x 237 = 129942900360

Therefore, the lowest common multiple of 345,472,111,455,711 is 129942900360.

LCM Formula to Find Lowest Common Multiple of 345,472,111,455,711

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.

345 x 472 x 111 x 455 x 711 = 5847430516200

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

472 : 1, 2, 4, 8, 59, 118, 236, 472

111 : 1, 3, 37, 111

455 : 1, 5, 7, 13, 35, 65, 91, 455

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,472,111,455,711, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

472:2x 2x 2x 59

111:3x 37

455:5x 7x 13

711:3x 3x 79

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 5847430516200/(1x45)

LCM = 5847430516200/45

LCM = 129942900360

Thus, we can understand that the LCM of 345,472,111,455,711 is 129942900360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 472, 111, 455, 711

1. What is the LCM of 345, 472, 111, 455, 711?

Answer: LCM of 345, 472, 111, 455, 711 is 129942900360.

2. How to calculate the LCM of 345, 472, 111, 455, 711?

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 345, 472, 111, 455, 711.

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}.