Given numbers are 274,506,428,648,725

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

The LCM of 274,506,428,648,725 is 1742359944600.

Find LCM of 274,506,428,648,725 with Prime Factorization

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

2 x 2 x 137 x 253 x 107 x 162 x 725 = 1742359944600

Therefore, the lowest common multiple of 274,506,428,648,725 is 1742359944600.

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.

274 x 506 x 428 x 648 x 725 = 27877759113600

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.

274 : 1, 2, 137, 274

506 : 1, 2, 11, 22, 23, 46, 253, 506

428 : 1, 2, 4, 107, 214, 428

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

725 : 1, 5, 25, 29, 145, 725

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,506,428,648,725, is 1.

Now, the common factors can be found like this.

274:2x 137

506:2x 11x 23

428:2x 2x 107

648:2x 2x 2x 3x 3x 3x 3

725:5x 5x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 27877759113600/(1x16)

LCM = 27877759113600/16

LCM = 1742359944600

Thus, we can understand that the LCM of 274,506,428,648,725 is 1742359944600.

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

• LCM of 291, 418, 309, 522, 617
• LCM of 438, 947, 806, 894, 144
• LCM of 952, 226, 140, 196, 223
• LCM of 633, 433, 802, 573, 579
• LCM of 643, 157, 513, 946, 718

1. What is the LCM of 274, 506, 428, 648, 725?

Answer: LCM of 274, 506, 428, 648, 725 is 1742359944600.

2. How to calculate the LCM of 274, 506, 428, 648, 725?

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 274, 506, 428, 648, 725.

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}.