Given numbers are 464,101,126,921

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

The LCM of 464,101,126,921 is 906396624.

Find LCM of 464,101,126,921 with Prime Factorization

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

2 x 3 x 232 x 101 x 21 x 307 = 906396624

Therefore, the lowest common multiple of 464,101,126,921 is 906396624.

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.

464 x 101 x 126 x 921 = 5438379744

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

101 : 1, 101

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,101,126,921, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

101:101

126:2x 3x 3x 7

921:3x 307

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5438379744/(1x6)

LCM = 5438379744/6

LCM = 906396624

Thus, we can understand that the LCM of 464,101,126,921 is 906396624.

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

• LCM of 438, 286, 660, 640
• LCM of 506, 611, 632, 912
• LCM of 110, 930, 160, 848
• LCM of 163, 360, 135, 605
• LCM of 844, 872, 369, 375

1. What is the LCM of 464, 101, 126, 921?

Answer: LCM of 464, 101, 126, 921 is 906396624.

2. How to calculate the LCM of 464, 101, 126, 921?

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 464, 101, 126, 921.

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}.