Given numbers are 958,756,312,420

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

The LCM of 958,756,312,420 is 47076120.

Find LCM of 958,756,312,420 with Prime Factorization

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

2 x 2 x 3 x 7 x 479 x 9 x 26 x 5 = 47076120

Therefore, the lowest common multiple of 958,756,312,420 is 47076120.

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.

958 x 756 x 312 x 420 = 94905457920

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.

958 : 1, 2, 479, 958

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,756,312,420, is 2.

Now, the common factors can be found like this.

958:2x 479

756:2x 2x 3x 3x 3x 7

312:2x 2x 2x 3x 13

420:2x 2x 3x 5x 7

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 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 94905457920/(2x1008)

LCM = 94905457920/2016

LCM = 47076120

Thus, we can understand that the LCM of 958,756,312,420 is 47076120.

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

• LCM of 237, 713, 221, 834
• LCM of 963, 349, 316, 430
• LCM of 708, 108, 819, 524
• LCM of 918, 873, 449, 115
• LCM of 335, 311, 716, 748

1. What is the LCM of 958, 756, 312, 420?

Answer: LCM of 958, 756, 312, 420 is 47076120.

2. How to calculate the LCM of 958, 756, 312, 420?

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 958, 756, 312, 420.

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}.