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LCM of 264, 554, 840, 506, 620

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


Find the LCM of 264, 554, 840, 506, 620 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 264, 554, 840, 506, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,554,840,506,620

Given numbers are 264,554,840,506,620

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

The LCM of 264,554,840,506,620 is 1824909240.

Find LCM of 264,554,840,506,620 with Prime Factorization


2 264, 554, 840, 506, 620
2 132, 277, 420, 253, 310
2 66, 277, 210, 253, 155
3 33, 277, 105, 253, 155
5 11, 277, 35, 253, 155
11 11, 277, 7, 253, 31
1, 277, 7, 23, 31

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

2 x 2 x 2 x 3 x 5 x 11 x 1 x 277 x 7 x 23 x 31 = 1824909240

Therefore, the lowest common multiple of 264,554,840,506,620 is 1824909240.

LCM Formula to Find Lowest Common Multiple of 264,554,840,506,620

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.

264 x 554 x 840 x 506 x 620 = 38542083148800

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

554 : 1, 2, 277, 554

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

506 : 1, 2, 11, 22, 23, 46, 253, 506

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,554,840,506,620, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

554:2x 277

840:2x 2x 2x 3x 5x 7

506:2x 11x 23

620:2x 2x 5x 31

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 2x 2x 2x 3x 5x 11 = 10560

Therefore, the value for common factors is 10560.

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 = 38542083148800/(2x10560)

LCM = 38542083148800/21120

LCM = 1824909240

Thus, we can understand that the LCM of 264,554,840,506,620 is 1824909240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 554, 840, 506, 620

1. What is the LCM of 264, 554, 840, 506, 620?

Answer: LCM of 264, 554, 840, 506, 620 is 1824909240.

2. How to calculate the LCM of 264, 554, 840, 506, 620?

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 264, 554, 840, 506, 620.

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}.