Given numbers are 302,378,654,684,528

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

The LCM of 302,378,654,684,528 is 10402351344.

Find LCM of 302,378,654,684,528 with Prime Factorization

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

2 x 2 x 3 x 3 x 151 x 21 x 109 x 19 x 44 = 10402351344

Therefore, the lowest common multiple of 302,378,654,684,528 is 10402351344.

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.

302 x 378 x 654 x 684 x 528 = 26962894683648

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.

302 : 1, 2, 151, 302

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

654 : 1, 2, 3, 6, 109, 218, 327, 654

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,378,654,684,528, is 2.

Now, the common factors can be found like this.

302:2x 151

378:2x 3x 3x 3x 7

654:2x 3x 109

684:2x 2x 3x 3x 19

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 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 26962894683648/(2x1296)

LCM = 26962894683648/2592

LCM = 10402351344

Thus, we can understand that the LCM of 302,378,654,684,528 is 10402351344.

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

• LCM of 269, 358, 968, 571, 726
• LCM of 939, 797, 672, 859, 118
• LCM of 173, 724, 698, 424, 733
• LCM of 112, 500, 829, 577, 576
• LCM of 777, 741, 886, 160, 968

1. What is the LCM of 302, 378, 654, 684, 528?

Answer: LCM of 302, 378, 654, 684, 528 is 10402351344.

2. How to calculate the LCM of 302, 378, 654, 684, 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 302, 378, 654, 684, 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}.