Given numbers are 540,952,307,749

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

The LCM of 540,952,307,749 is 4221753480.

Find LCM of 540,952,307,749 with Prime Factorization

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

2 x 2 x 7 x 135 x 34 x 307 x 107 = 4221753480

Therefore, the lowest common multiple of 540,952,307,749 is 4221753480.

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.

540 x 952 x 307 x 749 = 118209097440

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

307 : 1, 307

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,952,307,749, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

952:2x 2x 2x 7x 17

307:307

749:7x 107

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 7 = 28

Therefore, the value for common factors is 28.

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 = 118209097440/(1x28)

LCM = 118209097440/28

LCM = 4221753480

Thus, we can understand that the LCM of 540,952,307,749 is 4221753480.

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

• LCM of 798, 346, 830, 244
• LCM of 256, 929, 402, 809
• LCM of 850, 600, 571, 896
• LCM of 642, 744, 741, 201
• LCM of 284, 345, 760, 709

1. What is the LCM of 540, 952, 307, 749?

Answer: LCM of 540, 952, 307, 749 is 4221753480.

2. How to calculate the LCM of 540, 952, 307, 749?

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 540, 952, 307, 749.

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}.