Given numbers are 901,149,506,306

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

The LCM of 901,149,506,306 is 611369946.

Find LCM of 901,149,506,306 with Prime Factorization

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

2 x 17 x 53 x 149 x 253 x 9 = 611369946

Therefore, the lowest common multiple of 901,149,506,306 is 611369946.

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.

901 x 149 x 506 x 306 = 20786578164

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.

901 : 1, 17, 53, 901

149 : 1, 149

506 : 1, 2, 11, 22, 23, 46, 253, 506

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,149,506,306, is 1.

Now, the common factors can be found like this.

901:17x 53

149:149

506:2x 11x 23

306:2x 3x 3x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 20786578164/(1x34)

LCM = 20786578164/34

LCM = 611369946

Thus, we can understand that the LCM of 901,149,506,306 is 611369946.

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

• LCM of 634, 498, 944, 943
• LCM of 400, 705, 921, 554
• LCM of 150, 148, 274, 878
• LCM of 261, 665, 514, 901
• LCM of 858, 314, 526, 922

1. What is the LCM of 901, 149, 506, 306?

Answer: LCM of 901, 149, 506, 306 is 611369946.

2. How to calculate the LCM of 901, 149, 506, 306?

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 901, 149, 506, 306.

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}.