Given numbers are 102,136,119,307

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

The LCM of 102,136,119,307 is 876792.

Find LCM of 102,136,119,307 with Prime Factorization

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

2 x 17 x 3 x 4 x 7 x 307 = 876792

Therefore, the lowest common multiple of 102,136,119,307 is 876792.

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 136 x 119 x 307 = 506785776

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

119 : 1, 7, 17, 119

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,136,119,307, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

136:2x 2x 2x 17

119:7x 17

307:307

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 506785776/(1x578)

LCM = 506785776/578

LCM = 876792

Thus, we can understand that the LCM of 102,136,119,307 is 876792.

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

• LCM of 583, 837, 512, 637
• LCM of 742, 169, 158, 378
• LCM of 121, 565, 300, 354
• LCM of 226, 755, 797, 385
• LCM of 148, 658, 829, 507

1. What is the LCM of 102, 136, 119, 307?

Answer: LCM of 102, 136, 119, 307 is 876792.

2. How to calculate the LCM of 102, 136, 119, 307?

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, 136, 119, 307.

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}.