Given numbers are 760,504,544,338

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

The LCM of 760,504,544,338 is 550236960.

Find LCM of 760,504,544,338 with Prime Factorization

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

2 x 2 x 2 x 95 x 63 x 68 x 169 = 550236960

Therefore, the lowest common multiple of 760,504,544,338 is 550236960.

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.

760 x 504 x 544 x 338 = 70430330880

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,504,544,338, is 2.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

504:2x 2x 2x 3x 3x 7

544:2x 2x 2x 2x 2x 17

338:2x 13x 13

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 2 = 64

Therefore, the value for common factors is 64.

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 = 70430330880/(2x64)

LCM = 70430330880/128

LCM = 550236960

Thus, we can understand that the LCM of 760,504,544,338 is 550236960.

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

• LCM of 523, 612, 308, 327
• LCM of 272, 385, 717, 136
• LCM of 383, 533, 978, 663
• LCM of 416, 301, 973, 719
• LCM of 842, 333, 173, 517

1. What is the LCM of 760, 504, 544, 338?

Answer: LCM of 760, 504, 544, 338 is 550236960.

2. How to calculate the LCM of 760, 504, 544, 338?

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 760, 504, 544, 338.

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}.