Given numbers are 298,274,169,542,736

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

The LCM of 298,274,169,542,736 is 688082710432.

Find LCM of 298,274,169,542,736 with Prime Factorization

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

2 x 149 x 137 x 169 x 271 x 368 = 688082710432

Therefore, the lowest common multiple of 298,274,169,542,736 is 688082710432.

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.

298 x 274 x 169 x 542 x 736 = 5504661683456

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.

298 : 1, 2, 149, 298

274 : 1, 2, 137, 274

169 : 1, 13, 169

542 : 1, 2, 271, 542

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,274,169,542,736, is 1.

Now, the common factors can be found like this.

298:2x 149

274:2x 137

169:13x 13

542:2x 271

736:2x 2x 2x 2x 2x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5504661683456/(1x8)

LCM = 5504661683456/8

LCM = 688082710432

Thus, we can understand that the LCM of 298,274,169,542,736 is 688082710432.

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

• LCM of 823, 280, 222, 814, 520
• LCM of 945, 112, 699, 332, 247
• LCM of 352, 141, 343, 771, 600
• LCM of 382, 296, 603, 366, 818
• LCM of 317, 800, 983, 697, 471

1. What is the LCM of 298, 274, 169, 542, 736?

Answer: LCM of 298, 274, 169, 542, 736 is 688082710432.

2. How to calculate the LCM of 298, 274, 169, 542, 736?

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 298, 274, 169, 542, 736.

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}.