Given numbers are 102,119,212,409

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

The LCM of 102,119,212,409 is 30954756.

Find LCM of 102,119,212,409 with Prime Factorization

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

2 x 17 x 3 x 7 x 106 x 409 = 30954756

Therefore, the lowest common multiple of 102,119,212,409 is 30954756.

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.

102 x 119 x 212 x 409 = 1052461704

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

119 : 1, 7, 17, 119

212 : 1, 2, 4, 53, 106, 212

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,119,212,409, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

119:7x 17

212:2x 2x 53

409:409

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 1052461704/(1x34)

LCM = 1052461704/34

LCM = 30954756

Thus, we can understand that the LCM of 102,119,212,409 is 30954756.

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

• LCM of 494, 396, 983, 915
• LCM of 673, 529, 972, 822
• LCM of 170, 329, 953, 391
• LCM of 848, 157, 533, 817
• LCM of 833, 155, 718, 312

1. What is the LCM of 102, 119, 212, 409?

Answer: LCM of 102, 119, 212, 409 is 30954756.

2. How to calculate the LCM of 102, 119, 212, 409?

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 102, 119, 212, 409.

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}.