Given numbers are 476,438,706,269

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

The LCM of 476,438,706,269 is 9898697508.

Find LCM of 476,438,706,269 with Prime Factorization

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

2 x 238 x 219 x 353 x 269 = 9898697508

Therefore, the lowest common multiple of 476,438,706,269 is 9898697508.

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.

476 x 438 x 706 x 269 = 39594790032

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

438 : 1, 2, 3, 6, 73, 146, 219, 438

706 : 1, 2, 353, 706

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,438,706,269, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

438:2x 3x 73

706:2x 353

269:269

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 = 39594790032/(1x4)

LCM = 39594790032/4

LCM = 9898697508

Thus, we can understand that the LCM of 476,438,706,269 is 9898697508.

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

• LCM of 654, 831, 377, 472
• LCM of 630, 623, 786, 621
• LCM of 770, 154, 952, 547
• LCM of 513, 989, 901, 353
• LCM of 383, 405, 876, 383

1. What is the LCM of 476, 438, 706, 269?

Answer: LCM of 476, 438, 706, 269 is 9898697508.

2. How to calculate the LCM of 476, 438, 706, 269?

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 476, 438, 706, 269.

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}.