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LCM of 345, 367, 782, 454

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


Find the LCM of 345, 367, 782, 454 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, 367, 782, 454. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,367,782,454

Given numbers are 345,367,782,454

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

The LCM of 345,367,782,454 is 977214570.

Find LCM of 345,367,782,454 with Prime Factorization


2 345, 367, 782, 454
23 345, 367, 391, 227
15, 367, 17, 227

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

2 x 23 x 15 x 367 x 17 x 227 = 977214570

Therefore, the lowest common multiple of 345,367,782,454 is 977214570.

LCM Formula to Find Lowest Common Multiple of 345,367,782,454

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 367 x 782 x 454 = 44951870220

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

367 : 1, 367

782 : 1, 2, 17, 23, 34, 46, 391, 782

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,367,782,454, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

367:367

782:2x 17x 23

454:2x 227

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 44951870220/(1x46)

LCM = 44951870220/46

LCM = 977214570

Thus, we can understand that the LCM of 345,367,782,454 is 977214570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 367, 782, 454

1. What is the LCM of 345, 367, 782, 454?

Answer: LCM of 345, 367, 782, 454 is 977214570.

2. How to calculate the LCM of 345, 367, 782, 454?

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, 367, 782, 454.

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}.