Given numbers are 978,744,149,214

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

The LCM of 978,744,149,214 is 1933439496.

Find LCM of 978,744,149,214 with Prime Factorization

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

2 x 3 x 163 x 124 x 149 x 107 = 1933439496

Therefore, the lowest common multiple of 978,744,149,214 is 1933439496.

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.

978 x 744 x 149 x 214 = 23201273952

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.

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

149 : 1, 149

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,744,149,214, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

744:2x 2x 2x 3x 31

149:149

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 23201273952/(1x12)

LCM = 23201273952/12

LCM = 1933439496

Thus, we can understand that the LCM of 978,744,149,214 is 1933439496.

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

• LCM of 689, 936, 325, 616
• LCM of 156, 528, 176, 290
• LCM of 295, 457, 609, 949
• LCM of 877, 785, 110, 942
• LCM of 842, 667, 638, 340

1. What is the LCM of 978, 744, 149, 214?

Answer: LCM of 978, 744, 149, 214 is 1933439496.

2. How to calculate the LCM of 978, 744, 149, 214?

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 978, 744, 149, 214.

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}.