Given numbers are 524,366,144,349

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

The LCM of 524,366,144,349 is 401595696.

Find LCM of 524,366,144,349 with Prime Factorization

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

2 x 2 x 3 x 131 x 61 x 12 x 349 = 401595696

Therefore, the lowest common multiple of 524,366,144,349 is 401595696.

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.

524 x 366 x 144 x 349 = 9638296704

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.

524 : 1, 2, 4, 131, 262, 524

366 : 1, 2, 3, 6, 61, 122, 183, 366

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,366,144,349, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

366:2x 3x 61

144:2x 2x 2x 2x 3x 3

349:349

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 3 = 24

Therefore, the value for common factors is 24.

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 = 9638296704/(1x24)

LCM = 9638296704/24

LCM = 401595696

Thus, we can understand that the LCM of 524,366,144,349 is 401595696.

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

• LCM of 904, 634, 459, 879
• LCM of 695, 802, 445, 743
• LCM of 211, 569, 628, 810
• LCM of 231, 161, 996, 906
• LCM of 302, 214, 155, 788

1. What is the LCM of 524, 366, 144, 349?

Answer: LCM of 524, 366, 144, 349 is 401595696.

2. How to calculate the LCM of 524, 366, 144, 349?

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 524, 366, 144, 349.

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}.