Given numbers are 971,418,372,958,528

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

The LCM of 971,418,372,958,528 is 144645178128.

Find LCM of 971,418,372,958,528 with Prime Factorization

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

2 x 2 x 3 x 11 x 971 x 19 x 31 x 479 x 4 = 144645178128

Therefore, the lowest common multiple of 971,418,372,958,528 is 144645178128.

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.

971 x 418 x 372 x 958 x 528 = 76372654051584

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.

971 : 1, 971

418 : 1, 2, 11, 19, 22, 38, 209, 418

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

958 : 1, 2, 479, 958

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,418,372,958,528, is 1.

Now, the common factors can be found like this.

971:971

418:2x 11x 19

372:2x 2x 3x 31

958:2x 479

528:2x 2x 2x 2x 3x 11

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

2x 2x 2x 2x 3x 11 = 528

Therefore, the value for common factors is 528.

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 = 76372654051584/(1x528)

LCM = 76372654051584/528

LCM = 144645178128

Thus, we can understand that the LCM of 971,418,372,958,528 is 144645178128.

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

• LCM of 396, 976, 468, 814, 713
• LCM of 295, 666, 968, 526, 492
• LCM of 485, 451, 535, 807, 144
• LCM of 406, 529, 110, 803, 897
• LCM of 422, 635, 627, 590, 559

1. What is the LCM of 971, 418, 372, 958, 528?

Answer: LCM of 971, 418, 372, 958, 528 is 144645178128.

2. How to calculate the LCM of 971, 418, 372, 958, 528?

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 971, 418, 372, 958, 528.

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}.