Given numbers are 465,353,611,428,982

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

The LCM of 465,353,611,428,982 is 21076288254060.

Find LCM of 465,353,611,428,982 with Prime Factorization

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

2 x 465 x 353 x 611 x 214 x 491 = 21076288254060

Therefore, the lowest common multiple of 465,353,611,428,982 is 21076288254060.

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.

465 x 353 x 611 x 428 x 982 = 42152576508120

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

353 : 1, 353

611 : 1, 13, 47, 611

428 : 1, 2, 4, 107, 214, 428

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,353,611,428,982, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

353:353

611:13x 47

428:2x 2x 107

982:2x 491

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 42152576508120/(1x2)

LCM = 42152576508120/2

LCM = 21076288254060

Thus, we can understand that the LCM of 465,353,611,428,982 is 21076288254060.

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

• LCM of 815, 591, 330, 845, 483
• LCM of 547, 792, 465, 668, 359
• LCM of 750, 509, 450, 442, 244
• LCM of 880, 502, 721, 676, 553
• LCM of 651, 904, 462, 979, 565

1. What is the LCM of 465, 353, 611, 428, 982?

Answer: LCM of 465, 353, 611, 428, 982 is 21076288254060.

2. How to calculate the LCM of 465, 353, 611, 428, 982?

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 465, 353, 611, 428, 982.

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}.