Given numbers are 278,774,840,795,715

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

The LCM of 278,774,840,795,715 is 114155201160.

Find LCM of 278,774,840,795,715 with Prime Factorization

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

2 x 3 x 5 x 139 x 129 x 28 x 53 x 143 = 114155201160

Therefore, the lowest common multiple of 278,774,840,795,715 is 114155201160.

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.

278 x 774 x 840 x 795 x 715 = 102739681044000

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.

278 : 1, 2, 139, 278

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

795 : 1, 3, 5, 15, 53, 159, 265, 795

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,774,840,795,715, is 1.

Now, the common factors can be found like this.

278:2x 139

774:2x 3x 3x 43

840:2x 2x 2x 3x 5x 7

795:3x 5x 53

715:5x 11x 13

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 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 102739681044000/(1x900)

LCM = 102739681044000/900

LCM = 114155201160

Thus, we can understand that the LCM of 278,774,840,795,715 is 114155201160.

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

• LCM of 388, 483, 315, 559, 637
• LCM of 267, 556, 297, 191, 768
• LCM of 456, 389, 506, 434, 271
• LCM of 880, 882, 175, 411, 659
• LCM of 869, 393, 800, 882, 850

1. What is the LCM of 278, 774, 840, 795, 715?

Answer: LCM of 278, 774, 840, 795, 715 is 114155201160.

2. How to calculate the LCM of 278, 774, 840, 795, 715?

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 278, 774, 840, 795, 715.

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}.