Given numbers are 167,107,352,332,978

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

The LCM of 167,107,352,332,978 is 255287684256.

Find LCM of 167,107,352,332,978 with Prime Factorization

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

2 x 2 x 167 x 107 x 88 x 83 x 489 = 255287684256

Therefore, the lowest common multiple of 167,107,352,332,978 is 255287684256.

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.

167 x 107 x 352 x 332 x 978 = 2042301474048

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.

167 : 1, 167

107 : 1, 107

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

332 : 1, 2, 4, 83, 166, 332

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,107,352,332,978, is 1.

Now, the common factors can be found like this.

167:167

107:107

352:2x 2x 2x 2x 2x 11

332:2x 2x 83

978:2x 3x 163

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 = 2042301474048/(1x8)

LCM = 2042301474048/8

LCM = 255287684256

Thus, we can understand that the LCM of 167,107,352,332,978 is 255287684256.

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

• LCM of 208, 324, 815, 153, 858
• LCM of 801, 942, 198, 733, 853
• LCM of 640, 437, 567, 530, 747
• LCM of 549, 142, 696, 893, 141
• LCM of 610, 378, 589, 347, 996

1. What is the LCM of 167, 107, 352, 332, 978?

Answer: LCM of 167, 107, 352, 332, 978 is 255287684256.

2. How to calculate the LCM of 167, 107, 352, 332, 978?

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 167, 107, 352, 332, 978.

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}.