Given numbers are 230,438,292,739

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

The LCM of 230,438,292,739 is 74446860.

Find LCM of 230,438,292,739 with Prime Factorization

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

2 x 73 x 115 x 3 x 2 x 739 = 74446860

Therefore, the lowest common multiple of 230,438,292,739 is 74446860.

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.

230 x 438 x 292 x 739 = 21738483120

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

438 : 1, 2, 3, 6, 73, 146, 219, 438

292 : 1, 2, 4, 73, 146, 292

739 : 1, 739

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,438,292,739, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

438:2x 3x 73

292:2x 2x 73

739:739

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 73 = 292

Therefore, the value for common factors is 292.

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 = 21738483120/(1x292)

LCM = 21738483120/292

LCM = 74446860

Thus, we can understand that the LCM of 230,438,292,739 is 74446860.

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

• LCM of 707, 730, 567, 726
• LCM of 321, 657, 586, 576
• LCM of 717, 295, 436, 967
• LCM of 533, 936, 882, 608
• LCM of 276, 459, 381, 747

1. What is the LCM of 230, 438, 292, 739?

Answer: LCM of 230, 438, 292, 739 is 74446860.

2. How to calculate the LCM of 230, 438, 292, 739?

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 230, 438, 292, 739.

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}.