Given numbers are 971,278,966,688,430

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

The LCM of 971,278,966,688,430 is 224253692880.

Find LCM of 971,278,966,688,430 with Prime Factorization

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

2 x 43 x 971 x 139 x 483 x 8 x 5 = 224253692880

Therefore, the lowest common multiple of 971,278,966,688,430 is 224253692880.

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 278 x 966 x 688 x 430 = 77143270350720

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

278 : 1, 2, 139, 278

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,278,966,688,430, is 1.

Now, the common factors can be found like this.

971:971

278:2x 139

966:2x 3x 7x 23

688:2x 2x 2x 2x 43

430:2x 5x 43

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 43 = 344

Therefore, the value for common factors is 344.

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 = 77143270350720/(1x344)

LCM = 77143270350720/344

LCM = 224253692880

Thus, we can understand that the LCM of 971,278,966,688,430 is 224253692880.

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

• LCM of 893, 733, 517, 461, 654
• LCM of 290, 439, 624, 450, 467
• LCM of 774, 709, 456, 807, 582
• LCM of 456, 635, 342, 239, 329
• LCM of 337, 413, 755, 262, 566

1. What is the LCM of 971, 278, 966, 688, 430?

Answer: LCM of 971, 278, 966, 688, 430 is 224253692880.

2. How to calculate the LCM of 971, 278, 966, 688, 430?

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, 278, 966, 688, 430.

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}.