LCM of 688, 699, 892, 144, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 699, 892, 144, 551 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 688, 699, 892, 144, 551. So, keep reading to learn more.
Given numbers are 688,699,892,144,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,699,892,144,551 is 177273300528.
Find LCM of 688,699,892,144,551 with Prime Factorization
| 2 | 688, 699, 892, 144, 551 |
| 2 | 344, 699, 446, 72, 551 |
| 2 | 172, 699, 223, 36, 551 |
| 2 | 86, 699, 223, 18, 551 |
| 3 | 43, 699, 223, 9, 551 |
| 43, 233, 223, 3, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 43 x 233 x 223 x 3 x 551 = 177273300528
Therefore, the lowest common multiple of 688,699,892,144,551 is 177273300528.
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.
688 x 699 x 892 x 144 x 551 = 34036473701376
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
699 : 1, 3, 233, 699
892 : 1, 2, 4, 223, 446, 892
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,699,892,144,551, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
699:3x 233
892:2x 2x 223
144:2x 2x 2x 2x 3x 3
551:19x 29
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 3 = 192
Therefore, the value for common factors is 192.
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 = 34036473701376/(1x192)
LCM = 34036473701376/192
LCM = 177273300528
Thus, we can understand that the LCM of 688,699,892,144,551 is 177273300528.
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FAQs on LCM of 688, 699, 892, 144, 551
1. What is the LCM of 688, 699, 892, 144, 551?
Answer: LCM of 688, 699, 892, 144, 551 is 177273300528.
2. How to calculate the LCM of 688, 699, 892, 144, 551?
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 688, 699, 892, 144, 551.
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}.