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LCM of 924, 894, 745, 75

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


Find the LCM of 924, 894, 745, 75 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 924, 894, 745, 75. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,894,745,75

Given numbers are 924,894,745,75

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

The LCM of 924,894,745,75 is 3441900.

Find LCM of 924,894,745,75 with Prime Factorization


2 924, 894, 745, 75
3 462, 447, 745, 75
5 154, 149, 745, 25
149 154, 149, 149, 5
154, 1, 1, 5

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

2 x 3 x 5 x 149 x 154 x 1 x 1 x 5 = 3441900

Therefore, the lowest common multiple of 924,894,745,75 is 3441900.

LCM Formula to Find Lowest Common Multiple of 924,894,745,75

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.

924 x 894 x 745 x 75 = 46155879000

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.

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

745 : 1, 5, 149, 745

75 : 1, 3, 5, 15, 25, 75

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,894,745,75, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

894:2x 3x 149

745:5x 149

75:3x 5x 5

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 3x 5x 149 = 13410

Therefore, the value for common factors is 13410.

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 = 46155879000/(1x13410)

LCM = 46155879000/13410

LCM = 3441900

Thus, we can understand that the LCM of 924,894,745,75 is 3441900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 894, 745, 75

1. What is the LCM of 924, 894, 745, 75?

Answer: LCM of 924, 894, 745, 75 is 3441900.

2. How to calculate the LCM of 924, 894, 745, 75?

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 924, 894, 745, 75.

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}.