Given numbers are 942,624,819,159,291

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

The LCM of 942,624,819,159,291 is 10576723248.

Find LCM of 942,624,819,159,291 with Prime Factorization

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

2 x 3 x 13 x 157 x 8 x 21 x 53 x 97 = 10576723248

Therefore, the lowest common multiple of 942,624,819,159,291 is 10576723248.

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.

942 x 624 x 819 x 159 x 291 = 22274579160288

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.

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

159 : 1, 3, 53, 159

291 : 1, 3, 97, 291

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,624,819,159,291, is 3.

Now, the common factors can be found like this.

942:2x 3x 157

624:2x 2x 2x 2x 3x 13

819:3x 3x 7x 13

159:3x 53

291:3x 97

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 22274579160288/(3x702)

LCM = 22274579160288/2106

LCM = 10576723248

Thus, we can understand that the LCM of 942,624,819,159,291 is 10576723248.

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

• LCM of 695, 146, 608, 226, 954
• LCM of 277, 623, 526, 149, 566
• LCM of 582, 822, 629, 504, 454
• LCM of 966, 485, 782, 440, 743
• LCM of 475, 857, 242, 681, 603

1. What is the LCM of 942, 624, 819, 159, 291?

Answer: LCM of 942, 624, 819, 159, 291 is 10576723248.

2. How to calculate the LCM of 942, 624, 819, 159, 291?

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 942, 624, 819, 159, 291.

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}.