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LCM of 484, 132, 737, 766

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


Find the LCM of 484, 132, 737, 766 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 484, 132, 737, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,132,737,766

Given numbers are 484,132,737,766

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

The LCM of 484,132,737,766 is 37259772.

Find LCM of 484,132,737,766 with Prime Factorization


2 484, 132, 737, 766
2 242, 66, 737, 383
11 121, 33, 737, 383
11, 3, 67, 383

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

2 x 2 x 11 x 11 x 3 x 67 x 383 = 37259772

Therefore, the lowest common multiple of 484,132,737,766 is 37259772.

LCM Formula to Find Lowest Common Multiple of 484,132,737,766

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.

484 x 132 x 737 x 766 = 36067459296

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

737 : 1, 11, 67, 737

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,132,737,766, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

132:2x 2x 3x 11

737:11x 67

766:2x 383

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 36067459296/(1x968)

LCM = 36067459296/968

LCM = 37259772

Thus, we can understand that the LCM of 484,132,737,766 is 37259772.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 132, 737, 766

1. What is the LCM of 484, 132, 737, 766?

Answer: LCM of 484, 132, 737, 766 is 37259772.

2. How to calculate the LCM of 484, 132, 737, 766?

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 484, 132, 737, 766.

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}.