Given numbers are 754,234,232,208,753

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

The LCM of 754,234,232,208,753 is 13626288.

Find LCM of 754,234,232,208,753 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 29 x 1 x 3 x 1 x 2 x 251 = 13626288

Therefore, the lowest common multiple of 754,234,232,208,753 is 13626288.

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.

754 x 234 x 232 x 208 x 753 = 6411113998848

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

232 : 1, 2, 4, 8, 29, 58, 116, 232

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,234,232,208,753, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

234:2x 3x 3x 13

232:2x 2x 2x 29

208:2x 2x 2x 2x 13

753:3x 251

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 3x 13x 13x 29 = 470496

Therefore, the value for common factors is 470496.

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 = 6411113998848/(1x470496)

LCM = 6411113998848/470496

LCM = 13626288

Thus, we can understand that the LCM of 754,234,232,208,753 is 13626288.

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

• LCM of 558, 262, 975, 552, 727
• LCM of 333, 943, 519, 504, 201
• LCM of 871, 658, 377, 997, 979
• LCM of 866, 324, 611, 833, 310
• LCM of 645, 351, 623, 571, 228

1. What is the LCM of 754, 234, 232, 208, 753?

Answer: LCM of 754, 234, 232, 208, 753 is 13626288.

2. How to calculate the LCM of 754, 234, 232, 208, 753?

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 754, 234, 232, 208, 753.

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}.