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LCM of 720, 889, 889, 931

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


Find the LCM of 720, 889, 889, 931 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 720, 889, 889, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,889,889,931

Given numbers are 720,889,889,931

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

The LCM of 720,889,889,931 is 85130640.

Find LCM of 720,889,889,931 with Prime Factorization


7 720, 889, 889, 931
127 720, 127, 127, 133
720, 1, 1, 133

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

7 x 127 x 720 x 1 x 1 x 133 = 85130640

Therefore, the lowest common multiple of 720,889,889,931 is 85130640.

LCM Formula to Find Lowest Common Multiple of 720,889,889,931

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.

720 x 889 x 889 x 931 = 529767972720

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

889 : 1, 7, 127, 889

889 : 1, 7, 127, 889

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,889,889,931, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

889:7x 127

889:7x 127

931:7x 7x 19

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

7x 7x 127 = 6223

Therefore, the value for common factors is 6223.

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 = 529767972720/(1x6223)

LCM = 529767972720/6223

LCM = 85130640

Thus, we can understand that the LCM of 720,889,889,931 is 85130640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 889, 889, 931

1. What is the LCM of 720, 889, 889, 931?

Answer: LCM of 720, 889, 889, 931 is 85130640.

2. How to calculate the LCM of 720, 889, 889, 931?

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 720, 889, 889, 931.

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}.