Given numbers are 414,542,958,961

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

The LCM of 414,542,958,961 is 51645029886.

Find LCM of 414,542,958,961 with Prime Factorization

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

2 x 207 x 271 x 479 x 961 = 51645029886

Therefore, the lowest common multiple of 414,542,958,961 is 51645029886.

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 542 x 958 x 961 = 206580119544

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

542 : 1, 2, 271, 542

958 : 1, 2, 479, 958

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,542,958,961, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

542:2x 271

958:2x 479

961:31x 31

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 206580119544/(1x4)

LCM = 206580119544/4

LCM = 51645029886

Thus, we can understand that the LCM of 414,542,958,961 is 51645029886.

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

• LCM of 797, 130, 214, 988
• LCM of 864, 536, 924, 910
• LCM of 726, 162, 497, 897
• LCM of 481, 915, 922, 887
• LCM of 550, 251, 231, 126

1. What is the LCM of 414, 542, 958, 961?

Answer: LCM of 414, 542, 958, 961 is 51645029886.

2. How to calculate the LCM of 414, 542, 958, 961?

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, 542, 958, 961.

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}.