Given numbers are 720,756,438,234,274

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

The LCM of 720,756,438,234,274 is 1965796560.

Find LCM of 720,756,438,234,274 with Prime Factorization

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

2 x 2 x 3 x 3 x 20 x 21 x 73 x 13 x 137 = 1965796560

Therefore, the lowest common multiple of 720,756,438,234,274 is 1965796560.

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.

720 x 756 x 438 x 234 x 274 = 15286034050560

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,756,438,234,274, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

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

438:2x 3x 73

234:2x 3x 3x 13

274:2x 137

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 15286034050560/(2x3888)

LCM = 15286034050560/7776

LCM = 1965796560

Thus, we can understand that the LCM of 720,756,438,234,274 is 1965796560.

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

• LCM of 944, 191, 466, 300, 483
• LCM of 463, 339, 549, 542, 572
• LCM of 506, 828, 332, 960, 814
• LCM of 541, 136, 755, 955, 649
• LCM of 934, 221, 532, 502, 352

1. What is the LCM of 720, 756, 438, 234, 274?

Answer: LCM of 720, 756, 438, 234, 274 is 1965796560.

2. How to calculate the LCM of 720, 756, 438, 234, 274?

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 720, 756, 438, 234, 274.

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}.