Given numbers are 474,507,119,688

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

The LCM of 474,507,119,688 is 3279219216.

Find LCM of 474,507,119,688 with Prime Factorization

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

2 x 3 x 79 x 169 x 119 x 344 = 3279219216

Therefore, the lowest common multiple of 474,507,119,688 is 3279219216.

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.

474 x 507 x 119 x 688 = 19675315296

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

507 : 1, 3, 13, 39, 169, 507

119 : 1, 7, 17, 119

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,507,119,688, is 1.

Now, the common factors can be found like this.

474:2x 3x 79

507:3x 13x 13

119:7x 17

688:2x 2x 2x 2x 43

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19675315296/(1x6)

LCM = 19675315296/6

LCM = 3279219216

Thus, we can understand that the LCM of 474,507,119,688 is 3279219216.

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

• LCM of 777, 673, 820, 268
• LCM of 199, 432, 236, 759
• LCM of 435, 802, 476, 216
• LCM of 289, 438, 445, 727
• LCM of 880, 837, 649, 575

1. What is the LCM of 474, 507, 119, 688?

Answer: LCM of 474, 507, 119, 688 is 3279219216.

2. How to calculate the LCM of 474, 507, 119, 688?

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 474, 507, 119, 688.

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}.