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LCM of 146, 949, 808, 764

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


Find the LCM of 146, 949, 808, 764 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 146, 949, 808, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 146,949,808,764

Given numbers are 146,949,808,764

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

The LCM of 146,949,808,764 is 146457272.

Find LCM of 146,949,808,764 with Prime Factorization


2 146, 949, 808, 764
2 73, 949, 404, 382
73 73, 949, 202, 191
1, 13, 202, 191

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

2 x 2 x 73 x 1 x 13 x 202 x 191 = 146457272

Therefore, the lowest common multiple of 146,949,808,764 is 146457272.

LCM Formula to Find Lowest Common Multiple of 146,949,808,764

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.

146 x 949 x 808 x 764 = 85531046848

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.

146 : 1, 2, 73, 146

949 : 1, 13, 73, 949

808 : 1, 2, 4, 8, 101, 202, 404, 808

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,949,808,764, is 1.

Now, the common factors can be found like this.

146:2x 73

949:13x 73

808:2x 2x 2x 101

764:2x 2x 191

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 73 = 584

Therefore, the value for common factors is 584.

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 = 85531046848/(1x584)

LCM = 85531046848/584

LCM = 146457272

Thus, we can understand that the LCM of 146,949,808,764 is 146457272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 146, 949, 808, 764

1. What is the LCM of 146, 949, 808, 764?

Answer: LCM of 146, 949, 808, 764 is 146457272.

2. How to calculate the LCM of 146, 949, 808, 764?

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 146, 949, 808, 764.

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}.