Given numbers are 961,217,341,457

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

The LCM of 961,217,341,457 is 33816629.

Find LCM of 961,217,341,457 with Prime Factorization

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

31 x 31 x 7 x 11 x 457 = 33816629

Therefore, the lowest common multiple of 961,217,341,457 is 33816629.

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.

961 x 217 x 341 x 457 = 32497780469

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.

961 : 1, 31, 961

217 : 1, 7, 31, 217

341 : 1, 11, 31, 341

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,217,341,457, is 1.

Now, the common factors can be found like this.

961:31x 31

217:7x 31

341:11x 31

457:457

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

31x 31 = 961

Therefore, the value for common factors is 961.

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 = 32497780469/(1x961)

LCM = 32497780469/961

LCM = 33816629

Thus, we can understand that the LCM of 961,217,341,457 is 33816629.

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

• LCM of 154, 847, 584, 604
• LCM of 177, 746, 302, 797
• LCM of 978, 144, 476, 224
• LCM of 327, 945, 533, 240
• LCM of 488, 870, 382, 768

1. What is the LCM of 961, 217, 341, 457?

Answer: LCM of 961, 217, 341, 457 is 33816629.

2. How to calculate the LCM of 961, 217, 341, 457?

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 961, 217, 341, 457.

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}.