Given numbers are 924,721,128,748,252

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

The LCM of 924,721,128,748,252 is 155320704.

Find LCM of 924,721,128,748,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 1 x 103 x 32 x 17 x 3 = 155320704

Therefore, the lowest common multiple of 924,721,128,748,252 is 155320704.

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.

924 x 721 x 128 x 748 x 252 = 16073829015552

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

721 : 1, 7, 103, 721

128 : 1, 2, 4, 8, 16, 32, 64, 128

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,721,128,748,252, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

721:7x 103

128:2x 2x 2x 2x 2x 2x 2

748:2x 2x 11x 17

252:2x 2x 3x 3x 7

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 3x 7x 7x 11 = 103488

Therefore, the value for common factors is 103488.

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 = 16073829015552/(1x103488)

LCM = 16073829015552/103488

LCM = 155320704

Thus, we can understand that the LCM of 924,721,128,748,252 is 155320704.

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

• LCM of 165, 463, 380, 337, 475
• LCM of 914, 260, 569, 164, 793
• LCM of 150, 186, 233, 802, 958
• LCM of 383, 420, 661, 833, 369
• LCM of 788, 272, 712, 725, 215

1. What is the LCM of 924, 721, 128, 748, 252?

Answer: LCM of 924, 721, 128, 748, 252 is 155320704.

2. How to calculate the LCM of 924, 721, 128, 748, 252?

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 924, 721, 128, 748, 252.

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}.