Given numbers are 748,241,184,920,644

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

The LCM of 748,241,184,920,644 is 290231480.

Find LCM of 748,241,184,920,644 with Prime Factorization

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

2 x 2 x 2 x 23 x 187 x 241 x 1 x 5 x 7 = 290231480

Therefore, the lowest common multiple of 748,241,184,920,644 is 290231480.

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.

748 x 241 x 184 x 920 x 644 = 19652153973760

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.

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

241 : 1, 241

184 : 1, 2, 4, 8, 23, 46, 92, 184

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,241,184,920,644, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

241:241

184:2x 2x 2x 23

920:2x 2x 2x 5x 23

644:2x 2x 7x 23

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 23x 23 = 67712

Therefore, the value for common factors is 67712.

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 = 19652153973760/(1x67712)

LCM = 19652153973760/67712

LCM = 290231480

Thus, we can understand that the LCM of 748,241,184,920,644 is 290231480.

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

• LCM of 359, 472, 737, 229, 790
• LCM of 511, 643, 615, 112, 110
• LCM of 221, 400, 388, 976, 631
• LCM of 820, 731, 639, 466, 871
• LCM of 682, 127, 961, 765, 933

1. What is the LCM of 748, 241, 184, 920, 644?

Answer: LCM of 748, 241, 184, 920, 644 is 290231480.

2. How to calculate the LCM of 748, 241, 184, 920, 644?

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 748, 241, 184, 920, 644.

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}.