Given numbers are 211,143,624,748

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

The LCM of 211,143,624,748 is 24621168.

Find LCM of 211,143,624,748 with Prime Factorization

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

2 x 2 x 11 x 13 x 211 x 1 x 12 x 17 = 24621168

Therefore, the lowest common multiple of 211,143,624,748 is 24621168.

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.

211 x 143 x 624 x 748 = 14083308096

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.

211 : 1, 211

143 : 1, 11, 13, 143

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,143,624,748, is 1.

Now, the common factors can be found like this.

211:211

143:11x 13

624:2x 2x 2x 2x 3x 13

748:2x 2x 11x 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 2x 11x 13 = 572

Therefore, the value for common factors is 572.

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 = 14083308096/(1x572)

LCM = 14083308096/572

LCM = 24621168

Thus, we can understand that the LCM of 211,143,624,748 is 24621168.

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

• LCM of 843, 234, 536, 824
• LCM of 610, 969, 970, 342
• LCM of 201, 478, 302, 368
• LCM of 504, 997, 338, 779
• LCM of 877, 430, 547, 742

1. What is the LCM of 211, 143, 624, 748?

Answer: LCM of 211, 143, 624, 748 is 24621168.

2. How to calculate the LCM of 211, 143, 624, 748?

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 211, 143, 624, 748.

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}.