Given numbers are 146,106,214,748

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

The LCM of 146,106,214,748 is 309659284.

Find LCM of 146,106,214,748 with Prime Factorization

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

2 x 73 x 53 x 107 x 374 = 309659284

Therefore, the lowest common multiple of 146,106,214,748 is 309659284.

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.

146 x 106 x 214 x 748 = 2477274272

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.

146 : 1, 2, 73, 146

106 : 1, 2, 53, 106

214 : 1, 2, 107, 214

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,106,214,748, is 2.

Now, the common factors can be found like this.

146:2x 73

106:2x 53

214:2x 107

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 2 = 4

Therefore, the value for common factors is 4.

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 = 2477274272/(2x4)

LCM = 2477274272/8

LCM = 309659284

Thus, we can understand that the LCM of 146,106,214,748 is 309659284.

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

• LCM of 810, 582, 261, 959
• LCM of 645, 949, 380, 457
• LCM of 335, 972, 812, 705
• LCM of 292, 315, 986, 649
• LCM of 848, 913, 716, 545

1. What is the LCM of 146, 106, 214, 748?

Answer: LCM of 146, 106, 214, 748 is 309659284.

2. How to calculate the LCM of 146, 106, 214, 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 146, 106, 214, 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}.