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LCM of 973, 189, 303, 140, 305

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


Find the LCM of 973, 189, 303, 140, 305 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, 189, 303, 140, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 973,189,303,140,305

Given numbers are 973,189,303,140,305

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

The LCM of 973,189,303,140,305 is 3237112620.

Find LCM of 973,189,303,140,305 with Prime Factorization


3 973, 189, 303, 140, 305
5 973, 63, 101, 140, 305
7 973, 63, 101, 28, 61
139, 9, 101, 4, 61

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

3 x 5 x 7 x 139 x 9 x 101 x 4 x 61 = 3237112620

Therefore, the lowest common multiple of 973,189,303,140,305 is 3237112620.

LCM Formula to Find Lowest Common Multiple of 973,189,303,140,305

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 189 x 303 x 140 x 305 = 2379277775700

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

303 : 1, 3, 101, 303

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,189,303,140,305, is 1.

Now, the common factors can be found like this.

973:7x 139

189:3x 3x 3x 7

303:3x 101

140:2x 2x 5x 7

305:5x 61

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

3x 5x 7x 7 = 735

Therefore, the value for common factors is 735.

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 = 2379277775700/(1x735)

LCM = 2379277775700/735

LCM = 3237112620

Thus, we can understand that the LCM of 973,189,303,140,305 is 3237112620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 973, 189, 303, 140, 305

1. What is the LCM of 973, 189, 303, 140, 305?

Answer: LCM of 973, 189, 303, 140, 305 is 3237112620.

2. How to calculate the LCM of 973, 189, 303, 140, 305?

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, 189, 303, 140, 305.

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}.