LCM of 477, 781, 975, 588, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 781, 975, 588, 345 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 477, 781, 975, 588, 345. So, keep reading to learn more.
Given numbers are 477,781,975,588,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,781,975,588,345 is 545803958700.
Find LCM of 477,781,975,588,345 with Prime Factorization
| 3 | 477, 781, 975, 588, 345 |
| 5 | 159, 781, 325, 196, 115 |
| 159, 781, 65, 196, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 159 x 781 x 65 x 196 x 23 = 545803958700
Therefore, the lowest common multiple of 477,781,975,588,345 is 545803958700.
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.
477 x 781 x 975 x 588 x 345 = 73683534424500
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.
477 : 1, 3, 9, 53, 159, 477
781 : 1, 11, 71, 781
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,781,975,588,345, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
781:11x 71
975:3x 5x 5x 13
588:2x 2x 3x 7x 7
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 73683534424500/(1x135)
LCM = 73683534424500/135
LCM = 545803958700
Thus, we can understand that the LCM of 477,781,975,588,345 is 545803958700.
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FAQs on LCM of 477, 781, 975, 588, 345
1. What is the LCM of 477, 781, 975, 588, 345?
Answer: LCM of 477, 781, 975, 588, 345 is 545803958700.
2. How to calculate the LCM of 477, 781, 975, 588, 345?
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 477, 781, 975, 588, 345.
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}.