Given numbers are 305,313,740,535

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

The LCM of 305,313,740,535 is 1511783740.

Find LCM of 305,313,740,535 with Prime Factorization

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

5 x 61 x 313 x 148 x 107 = 1511783740

Therefore, the lowest common multiple of 305,313,740,535 is 1511783740.

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.

305 x 313 x 740 x 535 = 37794593500

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.

305 : 1, 5, 61, 305

313 : 1, 313

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,313,740,535, is 1.

Now, the common factors can be found like this.

305:5x 61

313:313

740:2x 2x 5x 37

535:5x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 37794593500/(1x25)

LCM = 37794593500/25

LCM = 1511783740

Thus, we can understand that the LCM of 305,313,740,535 is 1511783740.

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

• LCM of 897, 233, 281, 119
• LCM of 969, 530, 442, 362
• LCM of 654, 319, 993, 454
• LCM of 665, 422, 491, 941
• LCM of 588, 659, 503, 927

1. What is the LCM of 305, 313, 740, 535?

Answer: LCM of 305, 313, 740, 535 is 1511783740.

2. How to calculate the LCM of 305, 313, 740, 535?

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 305, 313, 740, 535.

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}.