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LCM of 148, 326, 964, 547

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


Find the LCM of 148, 326, 964, 547 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 148, 326, 964, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,326,964,547

Given numbers are 148,326,964,547

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

The LCM of 148,326,964,547 is 3180194548.

Find LCM of 148,326,964,547 with Prime Factorization


2 148, 326, 964, 547
2 74, 163, 482, 547
37, 163, 241, 547

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

2 x 2 x 37 x 163 x 241 x 547 = 3180194548

Therefore, the lowest common multiple of 148,326,964,547 is 3180194548.

LCM Formula to Find Lowest Common Multiple of 148,326,964,547

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.

148 x 326 x 964 x 547 = 25441556384

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.

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

326 : 1, 2, 163, 326

964 : 1, 2, 4, 241, 482, 964

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,326,964,547, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

326:2x 163

964:2x 2x 241

547:547

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25441556384/(1x8)

LCM = 25441556384/8

LCM = 3180194548

Thus, we can understand that the LCM of 148,326,964,547 is 3180194548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 326, 964, 547

1. What is the LCM of 148, 326, 964, 547?

Answer: LCM of 148, 326, 964, 547 is 3180194548.

2. How to calculate the LCM of 148, 326, 964, 547?

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 148, 326, 964, 547.

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}.