Given numbers are 756,496,827,740

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

The LCM of 756,496,827,740 is 14342363280.

Find LCM of 756,496,827,740 with Prime Factorization

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

2 x 2 x 189 x 124 x 827 x 185 = 14342363280

Therefore, the lowest common multiple of 756,496,827,740 is 14342363280.

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.

756 x 496 x 827 x 740 = 229477812480

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

827 : 1, 827

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,496,827,740, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

496:2x 2x 2x 2x 31

827:827

740:2x 2x 5x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 229477812480/(1x16)

LCM = 229477812480/16

LCM = 14342363280

Thus, we can understand that the LCM of 756,496,827,740 is 14342363280.

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

• LCM of 567, 885, 410, 495
• LCM of 247, 747, 253, 306
• LCM of 846, 724, 651, 494
• LCM of 423, 837, 473, 606
• LCM of 347, 801, 555, 830

1. What is the LCM of 756, 496, 827, 740?

Answer: LCM of 756, 496, 827, 740 is 14342363280.

2. How to calculate the LCM of 756, 496, 827, 740?

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 756, 496, 827, 740.

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}.