Given numbers are 900,955,101,240

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

The LCM of 900,955,101,240 is 69447600.

Find LCM of 900,955,101,240 with Prime Factorization

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

2 x 2 x 3 x 5 x 15 x 191 x 101 x 4 = 69447600

Therefore, the lowest common multiple of 900,955,101,240 is 69447600.

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.

900 x 955 x 101 x 240 = 20834280000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

955 : 1, 5, 191, 955

101 : 1, 101

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,955,101,240, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

955:5x 191

101:101

240:2x 2x 2x 2x 3x 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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 20834280000/(1x300)

LCM = 20834280000/300

LCM = 69447600

Thus, we can understand that the LCM of 900,955,101,240 is 69447600.

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

• LCM of 639, 394, 371, 604
• LCM of 658, 876, 406, 283
• LCM of 582, 892, 140, 357
• LCM of 758, 461, 610, 854
• LCM of 817, 191, 863, 153

1. What is the LCM of 900, 955, 101, 240?

Answer: LCM of 900, 955, 101, 240 is 69447600.

2. How to calculate the LCM of 900, 955, 101, 240?

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 900, 955, 101, 240.

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}.