Given numbers are 432,474,137,276,838

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

The LCM of 432,474,137,276,838 is 45058140432.

Find LCM of 432,474,137,276,838 with Prime Factorization

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

2 x 2 x 3 x 36 x 79 x 137 x 23 x 419 = 45058140432

Therefore, the lowest common multiple of 432,474,137,276,838 is 45058140432.

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.

432 x 474 x 137 x 276 x 838 = 6488372222208

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

474 : 1, 2, 3, 6, 79, 158, 237, 474

137 : 1, 137

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,474,137,276,838, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

474:2x 3x 79

137:137

276:2x 2x 3x 23

838:2x 419

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 3 = 144

Therefore, the value for common factors is 144.

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 = 6488372222208/(1x144)

LCM = 6488372222208/144

LCM = 45058140432

Thus, we can understand that the LCM of 432,474,137,276,838 is 45058140432.

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

• LCM of 860, 818, 159, 393, 368
• LCM of 192, 132, 402, 376, 336
• LCM of 108, 429, 744, 543, 866
• LCM of 662, 563, 731, 176, 448
• LCM of 834, 371, 244, 496, 625

1. What is the LCM of 432, 474, 137, 276, 838?

Answer: LCM of 432, 474, 137, 276, 838 is 45058140432.

2. How to calculate the LCM of 432, 474, 137, 276, 838?

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 432, 474, 137, 276, 838.

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}.