Given numbers are 735,771,248

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

The LCM of 735,771,248 is 46845960.

Find LCM of 735,771,248 with Prime Factorization

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

3 x 245 x 257 x 248 = 46845960

Therefore, the lowest common multiple of 735,771,248 is 46845960.

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.

735 x 771 x 248 = 140537880

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

771 : 1, 3, 257, 771

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,771,248, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

771:3x 257

248:2x 2x 2x 31

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

3 = 3

Therefore, the value for common factors is 3.

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 = 140537880/(1x3)

LCM = 140537880/3

LCM = 46845960

Thus, we can understand that the LCM of 735,771,248 is 46845960.

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

• LCM of 957, 416, 762
• LCM of 547, 384, 546
• LCM of 777, 799, 259
• LCM of 368, 172, 697
• LCM of 887, 372, 990

1. What is the LCM of 735, 771, 248?

Answer: LCM of 735, 771, 248 is 46845960.

2. How to calculate the LCM of 735, 771, 248?

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 735, 771, 248.

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}.