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LCM of 326, 109, 305, 548, 735

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


Find the LCM of 326, 109, 305, 548, 735 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 326, 109, 305, 548, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,109,305,548,735

Given numbers are 326,109,305,548,735

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

The LCM of 326,109,305,548,735 is 436527727860.

Find LCM of 326,109,305,548,735 with Prime Factorization


2 326, 109, 305, 548, 735
5 163, 109, 305, 274, 735
163, 109, 61, 274, 147

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

2 x 5 x 163 x 109 x 61 x 274 x 147 = 436527727860

Therefore, the lowest common multiple of 326,109,305,548,735 is 436527727860.

LCM Formula to Find Lowest Common Multiple of 326,109,305,548,735

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.

326 x 109 x 305 x 548 x 735 = 4365277278600

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.

326 : 1, 2, 163, 326

109 : 1, 109

305 : 1, 5, 61, 305

548 : 1, 2, 4, 137, 274, 548

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,109,305,548,735, is 1.

Now, the common factors can be found like this.

326:2x 163

109:109

305:5x 61

548:2x 2x 137

735:3x 5x 7x 7

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 4365277278600/(1x10)

LCM = 4365277278600/10

LCM = 436527727860

Thus, we can understand that the LCM of 326,109,305,548,735 is 436527727860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 109, 305, 548, 735

1. What is the LCM of 326, 109, 305, 548, 735?

Answer: LCM of 326, 109, 305, 548, 735 is 436527727860.

2. How to calculate the LCM of 326, 109, 305, 548, 735?

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 326, 109, 305, 548, 735.

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}.