Given numbers are 728,680,748,837

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

The LCM of 728,680,748,837 is 569729160.

Find LCM of 728,680,748,837 with Prime Factorization

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

2 x 2 x 2 x 17 x 91 x 5 x 11 x 837 = 569729160

Therefore, the lowest common multiple of 728,680,748,837 is 569729160.

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.

728 x 680 x 748 x 837 = 309932663040

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,680,748,837, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

680:2x 2x 2x 5x 17

748:2x 2x 11x 17

837:3x 3x 3x 31

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 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 309932663040/(1x544)

LCM = 309932663040/544

LCM = 569729160

Thus, we can understand that the LCM of 728,680,748,837 is 569729160.

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

• LCM of 584, 161, 708, 799
• LCM of 284, 968, 767, 274
• LCM of 276, 639, 712, 292
• LCM of 552, 575, 394, 987
• LCM of 185, 625, 746, 209

1. What is the LCM of 728, 680, 748, 837?

Answer: LCM of 728, 680, 748, 837 is 569729160.

2. How to calculate the LCM of 728, 680, 748, 837?

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 728, 680, 748, 837.

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}.