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LCM of 274, 468, 324, 763

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


Find the LCM of 274, 468, 324, 763 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 274, 468, 324, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,468,324,763

Given numbers are 274,468,324,763

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

The LCM of 274,468,324,763 is 440284572.

Find LCM of 274,468,324,763 with Prime Factorization


2 274, 468, 324, 763
2 137, 234, 162, 763
3 137, 117, 81, 763
3 137, 39, 27, 763
137, 13, 9, 763

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

2 x 2 x 3 x 3 x 137 x 13 x 9 x 763 = 440284572

Therefore, the lowest common multiple of 274,468,324,763 is 440284572.

LCM Formula to Find Lowest Common Multiple of 274,468,324,763

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.

274 x 468 x 324 x 763 = 31700489184

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.

274 : 1, 2, 137, 274

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,468,324,763, is 1.

Now, the common factors can be found like this.

274:2x 137

468:2x 2x 3x 3x 13

324:2x 2x 3x 3x 3x 3

763:7x 109

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 31700489184/(1x72)

LCM = 31700489184/72

LCM = 440284572

Thus, we can understand that the LCM of 274,468,324,763 is 440284572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 468, 324, 763

1. What is the LCM of 274, 468, 324, 763?

Answer: LCM of 274, 468, 324, 763 is 440284572.

2. How to calculate the LCM of 274, 468, 324, 763?

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 274, 468, 324, 763.

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}.