Given numbers are 861,456,314,750

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

The LCM of 861,456,314,750 is 2568363000.

Find LCM of 861,456,314,750 with Prime Factorization

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

2 x 3 x 287 x 76 x 157 x 125 = 2568363000

Therefore, the lowest common multiple of 861,456,314,750 is 2568363000.

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.

861 x 456 x 314 x 750 = 92461068000

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.

861 : 1, 3, 7, 21, 41, 123, 287, 861

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

314 : 1, 2, 157, 314

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,456,314,750, is 1.

Now, the common factors can be found like this.

861:3x 7x 41

456:2x 2x 2x 3x 19

314:2x 157

750:2x 3x 5x 5x 5

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 92461068000/(1x36)

LCM = 92461068000/36

LCM = 2568363000

Thus, we can understand that the LCM of 861,456,314,750 is 2568363000.

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

• LCM of 462, 254, 369, 602
• LCM of 719, 558, 318, 179
• LCM of 429, 325, 567, 168
• LCM of 540, 375, 595, 629
• LCM of 956, 420, 890, 139

1. What is the LCM of 861, 456, 314, 750?

Answer: LCM of 861, 456, 314, 750 is 2568363000.

2. How to calculate the LCM of 861, 456, 314, 750?

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 861, 456, 314, 750.

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}.