Given numbers are 738,756,804,987,279

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

The LCM of 738,756,804,987,279 is 3025798524.

Find LCM of 738,756,804,987,279 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 41 x 3 x 67 x 47 x 31 = 3025798524

Therefore, the lowest common multiple of 738,756,804,987,279 is 3025798524.

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.

738 x 756 x 804 x 987 x 279 = 123525198943776

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

987 : 1, 3, 7, 21, 47, 141, 329, 987

279 : 1, 3, 9, 31, 93, 279

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,756,804,987,279, is 3.

Now, the common factors can be found like this.

738:2x 3x 3x 41

756:2x 2x 3x 3x 3x 7

804:2x 2x 3x 67

987:3x 7x 47

279:3x 3x 31

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 3x 3x 3x 3x 3x 7 = 13608

Therefore, the value for common factors is 13608.

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 = 123525198943776/(3x13608)

LCM = 123525198943776/40824

LCM = 3025798524

Thus, we can understand that the LCM of 738,756,804,987,279 is 3025798524.

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

• LCM of 881, 447, 862, 460, 586
• LCM of 344, 857, 676, 958, 420
• LCM of 199, 254, 527, 114, 244
• LCM of 120, 722, 275, 338, 566
• LCM of 966, 640, 173, 162, 593

1. What is the LCM of 738, 756, 804, 987, 279?

Answer: LCM of 738, 756, 804, 987, 279 is 3025798524.

2. How to calculate the LCM of 738, 756, 804, 987, 279?

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 738, 756, 804, 987, 279.

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}.