Given numbers are 735,142,229,790

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

The LCM of 735,142,229,790 is 1888157670.

Find LCM of 735,142,229,790 with Prime Factorization

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

2 x 5 x 147 x 71 x 229 x 79 = 1888157670

Therefore, the lowest common multiple of 735,142,229,790 is 1888157670.

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.

735 x 142 x 229 x 790 = 18881576700

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

142 : 1, 2, 71, 142

229 : 1, 229

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,142,229,790, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

142:2x 71

229:229

790:2x 5x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 18881576700/(1x10)

LCM = 18881576700/10

LCM = 1888157670

Thus, we can understand that the LCM of 735,142,229,790 is 1888157670.

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

• LCM of 109, 476, 109, 477
• LCM of 327, 665, 801, 968
• LCM of 572, 901, 794, 284
• LCM of 924, 995, 663, 583
• LCM of 418, 970, 787, 250

1. What is the LCM of 735, 142, 229, 790?

Answer: LCM of 735, 142, 229, 790 is 1888157670.

2. How to calculate the LCM of 735, 142, 229, 790?

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 735, 142, 229, 790.

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}.