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LCM of 145, 973, 973, 336

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


Find the LCM of 145, 973, 973, 336 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 145, 973, 973, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 145,973,973,336

Given numbers are 145,973,973,336

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

The LCM of 145,973,973,336 is 6772080.

Find LCM of 145,973,973,336 with Prime Factorization


7 145, 973, 973, 336
139 145, 139, 139, 48
145, 1, 1, 48

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

7 x 139 x 145 x 1 x 1 x 48 = 6772080

Therefore, the lowest common multiple of 145,973,973,336 is 6772080.

LCM Formula to Find Lowest Common Multiple of 145,973,973,336

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.

145 x 973 x 973 x 336 = 46124636880

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.

145 : 1, 5, 29, 145

973 : 1, 7, 139, 973

973 : 1, 7, 139, 973

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,973,973,336, is 1.

Now, the common factors can be found like this.

145:5x 29

973:7x 139

973:7x 139

336:2x 2x 2x 2x 3x 7

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 139 = 6811

Therefore, the value for common factors is 6811.

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 = 46124636880/(1x6811)

LCM = 46124636880/6811

LCM = 6772080

Thus, we can understand that the LCM of 145,973,973,336 is 6772080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 145, 973, 973, 336

1. What is the LCM of 145, 973, 973, 336?

Answer: LCM of 145, 973, 973, 336 is 6772080.

2. How to calculate the LCM of 145, 973, 973, 336?

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 145, 973, 973, 336.

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}.