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LCM of 848, 520, 684, 683, 554

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


Find the LCM of 848, 520, 684, 683, 554 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 848, 520, 684, 683, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 848,520,684,683,554

Given numbers are 848,520,684,683,554

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

The LCM of 848,520,684,683,554 is 1783223554320.

Find LCM of 848,520,684,683,554 with Prime Factorization


2 848, 520, 684, 683, 554
2 424, 260, 342, 683, 277
2 212, 130, 171, 683, 277
106, 65, 171, 683, 277

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

2 x 2 x 2 x 106 x 65 x 171 x 683 x 277 = 1783223554320

Therefore, the lowest common multiple of 848,520,684,683,554 is 1783223554320.

LCM Formula to Find Lowest Common Multiple of 848,520,684,683,554

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.

848 x 520 x 684 x 683 x 554 = 114126307476480

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.

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

683 : 1, 683

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,520,684,683,554, is 1.

Now, the common factors can be found like this.

848:2x 2x 2x 2x 53

520:2x 2x 2x 5x 13

684:2x 2x 3x 3x 19

683:683

554:2x 277

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 2 = 64

Therefore, the value for common factors is 64.

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 = 114126307476480/(1x64)

LCM = 114126307476480/64

LCM = 1783223554320

Thus, we can understand that the LCM of 848,520,684,683,554 is 1783223554320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 848, 520, 684, 683, 554

1. What is the LCM of 848, 520, 684, 683, 554?

Answer: LCM of 848, 520, 684, 683, 554 is 1783223554320.

2. How to calculate the LCM of 848, 520, 684, 683, 554?

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 848, 520, 684, 683, 554.

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}.