Given numbers are 932,270,420,138,688

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

The LCM of 932,270,420,138,688 is 3484207440.

Find LCM of 932,270,420,138,688 with Prime Factorization

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

2 x 2 x 3 x 5 x 233 x 9 x 7 x 23 x 172 = 3484207440

Therefore, the lowest common multiple of 932,270,420,138,688 is 3484207440.

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.

932 x 270 x 420 x 138 x 688 = 10034517427200

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.

932 : 1, 2, 4, 233, 466, 932

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

138 : 1, 2, 3, 6, 23, 46, 69, 138

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,270,420,138,688, is 2.

Now, the common factors can be found like this.

932:2x 2x 233

270:2x 3x 3x 3x 5

420:2x 2x 3x 5x 7

138:2x 3x 23

688:2x 2x 2x 2x 43

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 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 10034517427200/(2x1440)

LCM = 10034517427200/2880

LCM = 3484207440

Thus, we can understand that the LCM of 932,270,420,138,688 is 3484207440.

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

• LCM of 594, 610, 350, 983, 378
• LCM of 235, 781, 571, 179, 631
• LCM of 703, 363, 681, 708, 773
• LCM of 366, 454, 265, 387, 605
• LCM of 424, 147, 853, 850, 448

1. What is the LCM of 932, 270, 420, 138, 688?

Answer: LCM of 932, 270, 420, 138, 688 is 3484207440.

2. How to calculate the LCM of 932, 270, 420, 138, 688?

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 932, 270, 420, 138, 688.

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}.