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LCM of 253, 650, 299, 816

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


Find the LCM of 253, 650, 299, 816 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 253, 650, 299, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,650,299,816

Given numbers are 253,650,299,816

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

The LCM of 253,650,299,816 is 67095600.

Find LCM of 253,650,299,816 with Prime Factorization


2 253, 650, 299, 816
13 253, 325, 299, 408
23 253, 25, 23, 408
11, 25, 1, 408

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

2 x 13 x 23 x 11 x 25 x 1 x 408 = 67095600

Therefore, the lowest common multiple of 253,650,299,816 is 67095600.

LCM Formula to Find Lowest Common Multiple of 253,650,299,816

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.

253 x 650 x 299 x 816 = 40123168800

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.

253 : 1, 11, 23, 253

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

299 : 1, 13, 23, 299

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,650,299,816, is 1.

Now, the common factors can be found like this.

253:11x 23

650:2x 5x 5x 13

299:13x 23

816:2x 2x 2x 2x 3x 17

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

2x 13x 23 = 598

Therefore, the value for common factors is 598.

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 = 40123168800/(1x598)

LCM = 40123168800/598

LCM = 67095600

Thus, we can understand that the LCM of 253,650,299,816 is 67095600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 650, 299, 816

1. What is the LCM of 253, 650, 299, 816?

Answer: LCM of 253, 650, 299, 816 is 67095600.

2. How to calculate the LCM of 253, 650, 299, 816?

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 253, 650, 299, 816.

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}.