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LCM of 594, 425, 924, 307

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


Find the LCM of 594, 425, 924, 307 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 594, 425, 924, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 594,425,924,307

Given numbers are 594,425,924,307

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

The LCM of 594,425,924,307 is 1085030100.

Find LCM of 594,425,924,307 with Prime Factorization


2 594, 425, 924, 307
3 297, 425, 462, 307
11 99, 425, 154, 307
9, 425, 14, 307

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

2 x 3 x 11 x 9 x 425 x 14 x 307 = 1085030100

Therefore, the lowest common multiple of 594,425,924,307 is 1085030100.

LCM Formula to Find Lowest Common Multiple of 594,425,924,307

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.

594 x 425 x 924 x 307 = 71611986600

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.

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

425 : 1, 5, 17, 25, 85, 425

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

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,425,924,307, is 1.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

425:5x 5x 17

924:2x 2x 3x 7x 11

307:307

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 11 = 66

Therefore, the value for common factors is 66.

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 = 71611986600/(1x66)

LCM = 71611986600/66

LCM = 1085030100

Thus, we can understand that the LCM of 594,425,924,307 is 1085030100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 594, 425, 924, 307

1. What is the LCM of 594, 425, 924, 307?

Answer: LCM of 594, 425, 924, 307 is 1085030100.

2. How to calculate the LCM of 594, 425, 924, 307?

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 594, 425, 924, 307.

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}.