Given numbers are 740,267,351,398,492

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

The LCM of 740,267,351,398,492 is 188610460740.

Find LCM of 740,267,351,398,492 with Prime Factorization

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

2 x 2 x 3 x 185 x 89 x 117 x 199 x 41 = 188610460740

Therefore, the lowest common multiple of 740,267,351,398,492 is 188610460740.

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.

740 x 267 x 351 x 398 x 492 = 13579953173280

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

267 : 1, 3, 89, 267

351 : 1, 3, 9, 13, 27, 39, 117, 351

398 : 1, 2, 199, 398

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,267,351,398,492, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

267:3x 89

351:3x 3x 3x 13

398:2x 199

492:2x 2x 3x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 13579953173280/(1x72)

LCM = 13579953173280/72

LCM = 188610460740

Thus, we can understand that the LCM of 740,267,351,398,492 is 188610460740.

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

• LCM of 777, 610, 541, 498, 390
• LCM of 634, 851, 350, 378, 718
• LCM of 238, 894, 468, 116, 452
• LCM of 171, 611, 327, 401, 708
• LCM of 973, 932, 137, 291, 777

1. What is the LCM of 740, 267, 351, 398, 492?

Answer: LCM of 740, 267, 351, 398, 492 is 188610460740.

2. How to calculate the LCM of 740, 267, 351, 398, 492?

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 740, 267, 351, 398, 492.

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}.