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LCM of 291, 248, 533, 738

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


Find the LCM of 291, 248, 533, 738 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 291, 248, 533, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 291,248,533,738

Given numbers are 291,248,533,738

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

The LCM of 291,248,533,738 is 115396632.

Find LCM of 291,248,533,738 with Prime Factorization


2 291, 248, 533, 738
3 291, 124, 533, 369
41 97, 124, 533, 123
97, 124, 13, 3

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

2 x 3 x 41 x 97 x 124 x 13 x 3 = 115396632

Therefore, the lowest common multiple of 291,248,533,738 is 115396632.

LCM Formula to Find Lowest Common Multiple of 291,248,533,738

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.

291 x 248 x 533 x 738 = 28387571472

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.

291 : 1, 3, 97, 291

248 : 1, 2, 4, 8, 31, 62, 124, 248

533 : 1, 13, 41, 533

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,248,533,738, is 1.

Now, the common factors can be found like this.

291:3x 97

248:2x 2x 2x 31

533:13x 41

738:2x 3x 3x 41

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

2x 3x 41 = 246

Therefore, the value for common factors is 246.

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 = 28387571472/(1x246)

LCM = 28387571472/246

LCM = 115396632

Thus, we can understand that the LCM of 291,248,533,738 is 115396632.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 291, 248, 533, 738

1. What is the LCM of 291, 248, 533, 738?

Answer: LCM of 291, 248, 533, 738 is 115396632.

2. How to calculate the LCM of 291, 248, 533, 738?

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 291, 248, 533, 738.

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}.