Given numbers are 930,419,971,148

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

The LCM of 930,419,971,148 is 27999348180.

Find LCM of 930,419,971,148 with Prime Factorization

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

2 x 465 x 419 x 971 x 74 = 27999348180

Therefore, the lowest common multiple of 930,419,971,148 is 27999348180.

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.

930 x 419 x 971 x 148 = 55998696360

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

419 : 1, 419

971 : 1, 971

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,419,971,148, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

419:419

971:971

148:2x 2x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55998696360/(1x2)

LCM = 55998696360/2

LCM = 27999348180

Thus, we can understand that the LCM of 930,419,971,148 is 27999348180.

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

• LCM of 565, 566, 185, 812
• LCM of 364, 363, 907, 761
• LCM of 699, 310, 460, 369
• LCM of 958, 821, 369, 129
• LCM of 321, 363, 875, 945

1. What is the LCM of 930, 419, 971, 148?

Answer: LCM of 930, 419, 971, 148 is 27999348180.

2. How to calculate the LCM of 930, 419, 971, 148?

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 930, 419, 971, 148.

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}.