Given numbers are 874,292,354,684,549

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

The LCM of 874,292,354,684,549 is 4133221164.

Find LCM of 874,292,354,684,549 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 23 x 73 x 59 x 1 x 61 = 4133221164

Therefore, the lowest common multiple of 874,292,354,684,549 is 4133221164.

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.

874 x 292 x 354 x 684 x 549 = 33925479314112

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

292 : 1, 2, 4, 73, 146, 292

354 : 1, 2, 3, 6, 59, 118, 177, 354

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,292,354,684,549, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

292:2x 2x 73

354:2x 3x 59

684:2x 2x 3x 3x 19

549:3x 3x 61

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 3x 3x 19 = 8208

Therefore, the value for common factors is 8208.

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 = 33925479314112/(1x8208)

LCM = 33925479314112/8208

LCM = 4133221164

Thus, we can understand that the LCM of 874,292,354,684,549 is 4133221164.

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

• LCM of 407, 506, 827, 255, 120
• LCM of 606, 620, 774, 430, 579
• LCM of 612, 696, 833, 799, 940
• LCM of 479, 136, 767, 528, 351
• LCM of 111, 266, 430, 476, 843

1. What is the LCM of 874, 292, 354, 684, 549?

Answer: LCM of 874, 292, 354, 684, 549 is 4133221164.

2. How to calculate the LCM of 874, 292, 354, 684, 549?

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 874, 292, 354, 684, 549.

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}.