LCM of 544, 550, 698, 506, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 550, 698, 506, 752 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 544, 550, 698, 506, 752. So, keep reading to learn more.
Given numbers are 544,550,698,506,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,550,698,506,752 is 56439442400.
Find LCM of 544,550,698,506,752 with Prime Factorization
| 2 | 544, 550, 698, 506, 752 |
| 2 | 272, 275, 349, 253, 376 |
| 2 | 136, 275, 349, 253, 188 |
| 2 | 68, 275, 349, 253, 94 |
| 11 | 34, 275, 349, 253, 47 |
| 34, 25, 349, 23, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 34 x 25 x 349 x 23 x 47 = 56439442400
Therefore, the lowest common multiple of 544,550,698,506,752 is 56439442400.
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.
544 x 550 x 698 x 506 x 752 = 79466734899200
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
698 : 1, 2, 349, 698
506 : 1, 2, 11, 22, 23, 46, 253, 506
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,550,698,506,752, is 2.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
550:2x 5x 5x 11
698:2x 349
506:2x 11x 23
752:2x 2x 2x 2x 47
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 11 = 704
Therefore, the value for common factors is 704.
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 = 79466734899200/(2x704)
LCM = 79466734899200/1408
LCM = 56439442400
Thus, we can understand that the LCM of 544,550,698,506,752 is 56439442400.
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FAQs on LCM of 544, 550, 698, 506, 752
1. What is the LCM of 544, 550, 698, 506, 752?
Answer: LCM of 544, 550, 698, 506, 752 is 56439442400.
2. How to calculate the LCM of 544, 550, 698, 506, 752?
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 544, 550, 698, 506, 752.
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}.