Given numbers are 743,406,489,792,942

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

The LCM of 743,406,489,792,942 is 3057013031688.

Find LCM of 743,406,489,792,942 with Prime Factorization

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

2 x 3 x 743 x 203 x 163 x 132 x 157 = 3057013031688

Therefore, the lowest common multiple of 743,406,489,792,942 is 3057013031688.

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.

743 x 406 x 489 x 792 x 942 = 110052469140768

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.

743 : 1, 743

406 : 1, 2, 7, 14, 29, 58, 203, 406

489 : 1, 3, 163, 489

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,406,489,792,942, is 1.

Now, the common factors can be found like this.

743:743

406:2x 7x 29

489:3x 163

792:2x 2x 2x 3x 3x 11

942:2x 3x 157

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 3 = 36

Therefore, the value for common factors is 36.

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 = 110052469140768/(1x36)

LCM = 110052469140768/36

LCM = 3057013031688

Thus, we can understand that the LCM of 743,406,489,792,942 is 3057013031688.

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

• LCM of 844, 420, 486, 681, 788
• LCM of 813, 401, 624, 131, 136
• LCM of 125, 301, 730, 184, 141
• LCM of 604, 263, 670, 491, 837
• LCM of 787, 776, 369, 874, 572

1. What is the LCM of 743, 406, 489, 792, 942?

Answer: LCM of 743, 406, 489, 792, 942 is 3057013031688.

2. How to calculate the LCM of 743, 406, 489, 792, 942?

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 743, 406, 489, 792, 942.

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}.