Given numbers are 237,148,306,714,406

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

The LCM of 237,148,306,714,406 is 363141828.

Find LCM of 237,148,306,714,406 with Prime Factorization

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

2 x 3 x 7 x 17 x 79 x 74 x 3 x 1 x 29 = 363141828

Therefore, the lowest common multiple of 237,148,306,714,406 is 363141828.

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.

237 x 148 x 306 x 714 x 406 = 3111399182304

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.

237 : 1, 3, 79, 237

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,148,306,714,406, is 1.

Now, the common factors can be found like this.

237:3x 79

148:2x 2x 37

306:2x 3x 3x 17

714:2x 3x 7x 17

406:2x 7x 29

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 2x 3x 3x 7x 17 = 8568

Therefore, the value for common factors is 8568.

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 = 3111399182304/(1x8568)

LCM = 3111399182304/8568

LCM = 363141828

Thus, we can understand that the LCM of 237,148,306,714,406 is 363141828.

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

• LCM of 394, 872, 939, 579, 334
• LCM of 715, 531, 143, 830, 487
• LCM of 727, 645, 874, 148, 334
• LCM of 674, 881, 240, 766, 791
• LCM of 791, 191, 875, 404, 148

1. What is the LCM of 237, 148, 306, 714, 406?

Answer: LCM of 237, 148, 306, 714, 406 is 363141828.

2. How to calculate the LCM of 237, 148, 306, 714, 406?

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 237, 148, 306, 714, 406.

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}.