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LCM of 907, 576, 816, 921

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


Find the LCM of 907, 576, 816, 921 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 907, 576, 816, 921. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,576,816,921

Given numbers are 907,576,816,921

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

The LCM of 907,576,816,921 is 2726572608.

Find LCM of 907,576,816,921 with Prime Factorization


2 907, 576, 816, 921
2 907, 288, 408, 921
2 907, 144, 204, 921
2 907, 72, 102, 921
3 907, 36, 51, 921
907, 12, 17, 307

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

2 x 2 x 2 x 2 x 3 x 907 x 12 x 17 x 307 = 2726572608

Therefore, the lowest common multiple of 907,576,816,921 is 2726572608.

LCM Formula to Find Lowest Common Multiple of 907,576,816,921

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.

907 x 576 x 816 x 921 = 392626455552

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.

907 : 1, 907

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

921 : 1, 3, 307, 921

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,576,816,921, is 1.

Now, the common factors can be found like this.

907:907

576:2x 2x 2x 2x 2x 2x 3x 3

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

921:3x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 392626455552/(1x144)

LCM = 392626455552/144

LCM = 2726572608

Thus, we can understand that the LCM of 907,576,816,921 is 2726572608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 576, 816, 921

1. What is the LCM of 907, 576, 816, 921?

Answer: LCM of 907, 576, 816, 921 is 2726572608.

2. How to calculate the LCM of 907, 576, 816, 921?

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 907, 576, 816, 921.

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}.