Given numbers are 893,156,112,790,149

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

The LCM of 893,156,112,790,149 is 229571225520.

Find LCM of 893,156,112,790,149 with Prime Factorization

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

2 x 2 x 893 x 39 x 28 x 395 x 149 = 229571225520

Therefore, the lowest common multiple of 893,156,112,790,149 is 229571225520.

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.

893 x 156 x 112 x 790 x 149 = 1836569804160

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.

893 : 1, 19, 47, 893

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

790 : 1, 2, 5, 10, 79, 158, 395, 790

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,156,112,790,149, is 1.

Now, the common factors can be found like this.

893:19x 47

156:2x 2x 3x 13

112:2x 2x 2x 2x 7

790:2x 5x 79

149:149

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1836569804160/(1x8)

LCM = 1836569804160/8

LCM = 229571225520

Thus, we can understand that the LCM of 893,156,112,790,149 is 229571225520.

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

• LCM of 304, 674, 838, 726, 508
• LCM of 234, 922, 608, 290, 987
• LCM of 467, 984, 195, 751, 285
• LCM of 947, 874, 353, 614, 290
• LCM of 884, 904, 262, 251, 932

1. What is the LCM of 893, 156, 112, 790, 149?

Answer: LCM of 893, 156, 112, 790, 149 is 229571225520.

2. How to calculate the LCM of 893, 156, 112, 790, 149?

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 893, 156, 112, 790, 149.

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}.