Given numbers are 756,379,930,782,544

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

The LCM of 756,379,930,782,544 is 138918296160.

Find LCM of 756,379,930,782,544 with Prime Factorization

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

2 x 2 x 3 x 17 x 63 x 379 x 155 x 23 x 8 = 138918296160

Therefore, the lowest common multiple of 756,379,930,782,544 is 138918296160.

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 379 x 930 x 782 x 544 = 113357329666560

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

379 : 1, 379

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

782 : 1, 2, 17, 23, 34, 46, 391, 782

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,379,930,782,544, is 1.

Now, the common factors can be found like this.

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

379:379

930:2x 3x 5x 31

782:2x 17x 23

544:2x 2x 2x 2x 2x 17

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 17 = 816

Therefore, the value for common factors is 816.

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 = 113357329666560/(1x816)

LCM = 113357329666560/816

LCM = 138918296160

Thus, we can understand that the LCM of 756,379,930,782,544 is 138918296160.

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

• LCM of 203, 143, 339, 266, 783
• LCM of 154, 648, 946, 171, 238
• LCM of 236, 792, 963, 890, 520
• LCM of 296, 618, 881, 160, 289
• LCM of 740, 244, 980, 677, 331

1. What is the LCM of 756, 379, 930, 782, 544?

Answer: LCM of 756, 379, 930, 782, 544 is 138918296160.

2. How to calculate the LCM of 756, 379, 930, 782, 544?

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, 379, 930, 782, 544.

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}.