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LCM of 825, 924, 545, 614

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


Find the LCM of 825, 924, 545, 614 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 825, 924, 545, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,924,545,614

Given numbers are 825,924,545,614

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

The LCM of 825,924,545,614 is 772995300.

Find LCM of 825,924,545,614 with Prime Factorization


2 825, 924, 545, 614
3 825, 462, 545, 307
5 275, 154, 545, 307
11 55, 154, 109, 307
5, 14, 109, 307

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

2 x 3 x 5 x 11 x 5 x 14 x 109 x 307 = 772995300

Therefore, the lowest common multiple of 825,924,545,614 is 772995300.

LCM Formula to Find Lowest Common Multiple of 825,924,545,614

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.

825 x 924 x 545 x 614 = 255088449000

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

545 : 1, 5, 109, 545

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,924,545,614, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

924:2x 2x 3x 7x 11

545:5x 109

614:2x 307

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

2x 3x 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 255088449000/(1x330)

LCM = 255088449000/330

LCM = 772995300

Thus, we can understand that the LCM of 825,924,545,614 is 772995300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 924, 545, 614

1. What is the LCM of 825, 924, 545, 614?

Answer: LCM of 825, 924, 545, 614 is 772995300.

2. How to calculate the LCM of 825, 924, 545, 614?

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 825, 924, 545, 614.

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}.