LCM of 315, 769, 551, 302, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 769, 551, 302, 744 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 315, 769, 551, 302, 744. So, keep reading to learn more.
Given numbers are 315,769,551,302,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,769,551,302,744 is 4998240170280.
Find LCM of 315,769,551,302,744 with Prime Factorization
| 2 | 315, 769, 551, 302, 744 |
| 3 | 315, 769, 551, 151, 372 |
| 105, 769, 551, 151, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 105 x 769 x 551 x 151 x 124 = 4998240170280
Therefore, the lowest common multiple of 315,769,551,302,744 is 4998240170280.
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.
315 x 769 x 551 x 302 x 744 = 29989441021680
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
769 : 1, 769
551 : 1, 19, 29, 551
302 : 1, 2, 151, 302
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,769,551,302,744, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
769:769
551:19x 29
302:2x 151
744:2x 2x 2x 3x 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 3 = 6
Therefore, the value for common factors is 6.
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 = 29989441021680/(1x6)
LCM = 29989441021680/6
LCM = 4998240170280
Thus, we can understand that the LCM of 315,769,551,302,744 is 4998240170280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 315, 769, 551, 302, 744
1. What is the LCM of 315, 769, 551, 302, 744?
Answer: LCM of 315, 769, 551, 302, 744 is 4998240170280.
2. How to calculate the LCM of 315, 769, 551, 302, 744?
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 315, 769, 551, 302, 744.
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}.