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LCM of 139, 609, 973, 844

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


Find the LCM of 139, 609, 973, 844 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, 609, 973, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,609,973,844

Given numbers are 139,609,973,844

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

The LCM of 139,609,973,844 is 71445444.

Find LCM of 139,609,973,844 with Prime Factorization


7 139, 609, 973, 844
139 139, 87, 139, 844
1, 87, 1, 844

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

7 x 139 x 1 x 87 x 1 x 844 = 71445444

Therefore, the lowest common multiple of 139,609,973,844 is 71445444.

LCM Formula to Find Lowest Common Multiple of 139,609,973,844

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 609 x 973 x 844 = 69516417012

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

973 : 1, 7, 139, 973

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,609,973,844, is 1.

Now, the common factors can be found like this.

139:139

609:3x 7x 29

973:7x 139

844:2x 2x 211

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

7x 139 = 973

Therefore, the value for common factors is 973.

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 = 69516417012/(1x973)

LCM = 69516417012/973

LCM = 71445444

Thus, we can understand that the LCM of 139,609,973,844 is 71445444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 609, 973, 844

1. What is the LCM of 139, 609, 973, 844?

Answer: LCM of 139, 609, 973, 844 is 71445444.

2. How to calculate the LCM of 139, 609, 973, 844?

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, 609, 973, 844.

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}.