Given numbers are 536,672,319,448,242

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

The LCM of 536,672,319,448,242 is 315978432.

Find LCM of 536,672,319,448,242 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 7 x 11 x 67 x 3 x 29 x 2 x 11 = 315978432

Therefore, the lowest common multiple of 536,672,319,448,242 is 315978432.

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.

536 x 672 x 319 x 448 x 242 = 12457133703168

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

319 : 1, 11, 29, 319

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,672,319,448,242, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

672:2x 2x 2x 2x 2x 3x 7

319:11x 29

448:2x 2x 2x 2x 2x 2x 7

242:2x 11x 11

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 2x 2x 2x 2x 2x 2x 7x 11 = 39424

Therefore, the value for common factors is 39424.

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 = 12457133703168/(1x39424)

LCM = 12457133703168/39424

LCM = 315978432

Thus, we can understand that the LCM of 536,672,319,448,242 is 315978432.

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

• LCM of 582, 664, 762, 933, 412
• LCM of 949, 362, 567, 384, 726
• LCM of 378, 904, 771, 693, 229
• LCM of 175, 882, 621, 117, 141
• LCM of 104, 168, 363, 637, 229

1. What is the LCM of 536, 672, 319, 448, 242?

Answer: LCM of 536, 672, 319, 448, 242 is 315978432.

2. How to calculate the LCM of 536, 672, 319, 448, 242?

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 536, 672, 319, 448, 242.

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}.