Given numbers are 780,748,338,468

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

The LCM of 780,748,338,468 is 5688540.

Find LCM of 780,748,338,468 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 187 x 13 x 3 = 5688540

Therefore, the lowest common multiple of 780,748,338,468 is 5688540.

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.

780 x 748 x 338 x 468 = 92290872960

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

338 : 1, 2, 13, 26, 169, 338

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,748,338,468, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

748:2x 2x 11x 17

338:2x 13x 13

468:2x 2x 3x 3x 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 2x 2x 3x 13x 13 = 8112

Therefore, the value for common factors is 8112.

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 = 92290872960/(2x8112)

LCM = 92290872960/16224

LCM = 5688540

Thus, we can understand that the LCM of 780,748,338,468 is 5688540.

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

• LCM of 671, 871, 681, 160
• LCM of 247, 402, 916, 874
• LCM of 113, 975, 155, 262
• LCM of 858, 561, 581, 872
• LCM of 399, 924, 222, 848

1. What is the LCM of 780, 748, 338, 468?

Answer: LCM of 780, 748, 338, 468 is 5688540.

2. How to calculate the LCM of 780, 748, 338, 468?

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 780, 748, 338, 468.

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}.