Given numbers are 309,993,469,862,971

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

The LCM of 309,993,469,862,971 is 40150024224702.

Find LCM of 309,993,469,862,971 with Prime Factorization

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

3 x 103 x 331 x 469 x 862 x 971 = 40150024224702

Therefore, the lowest common multiple of 309,993,469,862,971 is 40150024224702.

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.

309 x 993 x 469 x 862 x 971 = 120450072674106

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.

309 : 1, 3, 103, 309

993 : 1, 3, 331, 993

469 : 1, 7, 67, 469

862 : 1, 2, 431, 862

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,993,469,862,971, is 1.

Now, the common factors can be found like this.

309:3x 103

993:3x 331

469:7x 67

862:2x 431

971:971

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

3 = 3

Therefore, the value for common factors is 3.

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 = 120450072674106/(1x3)

LCM = 120450072674106/3

LCM = 40150024224702

Thus, we can understand that the LCM of 309,993,469,862,971 is 40150024224702.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 212, 162, 635, 349, 299
• LCM of 257, 425, 849, 909, 721
• LCM of 397, 961, 138, 456, 105
• LCM of 858, 611, 950, 558, 594
• LCM of 536, 679, 853, 759, 392

1. What is the LCM of 309, 993, 469, 862, 971?

Answer: LCM of 309, 993, 469, 862, 971 is 40150024224702.

2. How to calculate the LCM of 309, 993, 469, 862, 971?

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 309, 993, 469, 862, 971.

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}.