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LCM of 139, 512, 673, 902, 892

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


Find the LCM of 139, 512, 673, 902, 892 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 139, 512, 673, 902, 892. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,512,673,902,892

Given numbers are 139,512,673,902,892

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

The LCM of 139,512,673,902,892 is 4817050844672.

Find LCM of 139,512,673,902,892 with Prime Factorization


2 139, 512, 673, 902, 892
2 139, 256, 673, 451, 446
139, 128, 673, 451, 223

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

2 x 2 x 139 x 128 x 673 x 451 x 223 = 4817050844672

Therefore, the lowest common multiple of 139,512,673,902,892 is 4817050844672.

LCM Formula to Find Lowest Common Multiple of 139,512,673,902,892

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.

139 x 512 x 673 x 902 x 892 = 38536406757376

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.

139 : 1, 139

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

673 : 1, 673

902 : 1, 2, 11, 22, 41, 82, 451, 902

892 : 1, 2, 4, 223, 446, 892

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,512,673,902,892, is 1.

Now, the common factors can be found like this.

139:139

512:2x 2x 2x 2x 2x 2x 2x 2x 2

673:673

902:2x 11x 41

892:2x 2x 223

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 2 = 8

Therefore, the value for common factors is 8.

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 = 38536406757376/(1x8)

LCM = 38536406757376/8

LCM = 4817050844672

Thus, we can understand that the LCM of 139,512,673,902,892 is 4817050844672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 512, 673, 902, 892

1. What is the LCM of 139, 512, 673, 902, 892?

Answer: LCM of 139, 512, 673, 902, 892 is 4817050844672.

2. How to calculate the LCM of 139, 512, 673, 902, 892?

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 139, 512, 673, 902, 892.

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}.