Given numbers are 6,971,759,567

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

The LCM of 6,971,759,567 is 278581842.

Find LCM of 6,971,759,567 with Prime Factorization

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

3 x 2 x 971 x 253 x 189 = 278581842

Therefore, the lowest common multiple of 6,971,759,567 is 278581842.

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.

6 x 971 x 759 x 567 = 2507236578

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.

6 : 1, 2, 3, 6

971 : 1, 971

759 : 1, 3, 11, 23, 33, 69, 253, 759

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,971,759,567, is 1.

Now, the common factors can be found like this.

6:2x 3

971:971

759:3x 11x 23

567:3x 3x 3x 3x 7

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 2507236578/(1x9)

LCM = 2507236578/9

LCM = 278581842

Thus, we can understand that the LCM of 6,971,759,567 is 278581842.

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

• LCM of 7, 832, 392, 100
• LCM of 3, 301, 136, 304
• LCM of 8, 768, 417, 112
• LCM of 3, 313, 130, 224
• LCM of 5, 160, 180, 325

1. What is the LCM of 6, 971, 759, 567?

Answer: LCM of 6, 971, 759, 567 is 278581842.

2. How to calculate the LCM of 6, 971, 759, 567?

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 6, 971, 759, 567.

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}.