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LCM of 973, 148, 120, 556, 309

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


Find the LCM of 973, 148, 120, 556, 309 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 973, 148, 120, 556, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 973,148,120,556,309

Given numbers are 973,148,120,556,309

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

The LCM of 973,148,120,556,309 is 444972360.

Find LCM of 973,148,120,556,309 with Prime Factorization


2 973, 148, 120, 556, 309
2 973, 74, 60, 278, 309
3 973, 37, 30, 139, 309
139 973, 37, 10, 139, 103
7, 37, 10, 1, 103

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

2 x 2 x 3 x 139 x 7 x 37 x 10 x 1 x 103 = 444972360

Therefore, the lowest common multiple of 973,148,120,556,309 is 444972360.

LCM Formula to Find Lowest Common Multiple of 973,148,120,556,309

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.

973 x 148 x 120 x 556 x 309 = 2968855585920

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.

973 : 1, 7, 139, 973

148 : 1, 2, 4, 37, 74, 148

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

556 : 1, 2, 4, 139, 278, 556

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,148,120,556,309, is 1.

Now, the common factors can be found like this.

973:7x 139

148:2x 2x 37

120:2x 2x 2x 3x 5

556:2x 2x 139

309:3x 103

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 139 = 6672

Therefore, the value for common factors is 6672.

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 = 2968855585920/(1x6672)

LCM = 2968855585920/6672

LCM = 444972360

Thus, we can understand that the LCM of 973,148,120,556,309 is 444972360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 973, 148, 120, 556, 309

1. What is the LCM of 973, 148, 120, 556, 309?

Answer: LCM of 973, 148, 120, 556, 309 is 444972360.

2. How to calculate the LCM of 973, 148, 120, 556, 309?

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 973, 148, 120, 556, 309.

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}.