Given numbers are 414,269,606,358,986

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

The LCM of 414,269,606,358,986 is 992599255602.

Find LCM of 414,269,606,358,986 with Prime Factorization

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

2 x 3 x 69 x 269 x 101 x 179 x 493 = 992599255602

Therefore, the lowest common multiple of 414,269,606,358,986 is 992599255602.

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.

414 x 269 x 606 x 358 x 986 = 23822382134448

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

269 : 1, 269

606 : 1, 2, 3, 6, 101, 202, 303, 606

358 : 1, 2, 179, 358

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,269,606,358,986, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

269:269

606:2x 3x 101

358:2x 179

986:2x 17x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 23822382134448/(1x24)

LCM = 23822382134448/24

LCM = 992599255602

Thus, we can understand that the LCM of 414,269,606,358,986 is 992599255602.

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

• LCM of 732, 105, 505, 556, 373
• LCM of 237, 818, 941, 705, 359
• LCM of 774, 406, 686, 897, 301
• LCM of 898, 221, 394, 956, 243
• LCM of 406, 770, 732, 288, 820

1. What is the LCM of 414, 269, 606, 358, 986?

Answer: LCM of 414, 269, 606, 358, 986 is 992599255602.

2. How to calculate the LCM of 414, 269, 606, 358, 986?

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 414, 269, 606, 358, 986.

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}.