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LCM of 467, 611, 359, 974, 450

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


Find the LCM of 467, 611, 359, 974, 450 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 467, 611, 359, 974, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 467,611,359,974,450

Given numbers are 467,611,359,974,450

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

The LCM of 467,611,359,974,450 is 22448845674450.

Find LCM of 467,611,359,974,450 with Prime Factorization


2 467, 611, 359, 974, 450
467, 611, 359, 487, 225

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

2 x 467 x 611 x 359 x 487 x 225 = 22448845674450

Therefore, the lowest common multiple of 467,611,359,974,450 is 22448845674450.

LCM Formula to Find Lowest Common Multiple of 467,611,359,974,450

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.

467 x 611 x 359 x 974 x 450 = 44897691348900

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.

467 : 1, 467

611 : 1, 13, 47, 611

359 : 1, 359

974 : 1, 2, 487, 974

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,611,359,974,450, is 1.

Now, the common factors can be found like this.

467:467

611:13x 47

359:359

974:2x 487

450:2x 3x 3x 5x 5

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

2 = 2

Therefore, the value for common factors is 2.

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 = 44897691348900/(1x2)

LCM = 44897691348900/2

LCM = 22448845674450

Thus, we can understand that the LCM of 467,611,359,974,450 is 22448845674450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 467, 611, 359, 974, 450

1. What is the LCM of 467, 611, 359, 974, 450?

Answer: LCM of 467, 611, 359, 974, 450 is 22448845674450.

2. How to calculate the LCM of 467, 611, 359, 974, 450?

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 467, 611, 359, 974, 450.

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}.