LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 909, 968, 564, 912

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 909, 968, 564, 912 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 909, 968, 564, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,968,564,912

Given numbers are 909,968,564,912

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

The LCM of 909,968,564,912 is 1571522832.

Find LCM of 909,968,564,912 with Prime Factorization


2 909, 968, 564, 912
2 909, 484, 282, 456
2 909, 242, 141, 228
3 909, 121, 141, 114
303, 121, 47, 38

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

2 x 2 x 2 x 3 x 303 x 121 x 47 x 38 = 1571522832

Therefore, the lowest common multiple of 909,968,564,912 is 1571522832.

LCM Formula to Find Lowest Common Multiple of 909,968,564,912

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.

909 x 968 x 564 x 912 = 452598575616

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.

909 : 1, 3, 9, 101, 303, 909

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,968,564,912, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

968:2x 2x 2x 11x 11

564:2x 2x 3x 47

912:2x 2x 2x 2x 3x 19

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 452598575616/(1x288)

LCM = 452598575616/288

LCM = 1571522832

Thus, we can understand that the LCM of 909,968,564,912 is 1571522832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 968, 564, 912

1. What is the LCM of 909, 968, 564, 912?

Answer: LCM of 909, 968, 564, 912 is 1571522832.

2. How to calculate the LCM of 909, 968, 564, 912?

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 909, 968, 564, 912.

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}.