LCM of 923, 716, 572, 752, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 716, 572, 752, 420 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 923, 716, 572, 752, 420. So, keep reading to learn more.
Given numbers are 923,716,572,752,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,716,572,752,420 is 143500877520.
Find LCM of 923,716,572,752,420 with Prime Factorization
| 2 | 923, 716, 572, 752, 420 |
| 2 | 923, 358, 286, 376, 210 |
| 13 | 923, 179, 143, 188, 105 |
| 71, 179, 11, 188, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 71 x 179 x 11 x 188 x 105 = 143500877520
Therefore, the lowest common multiple of 923,716,572,752,420 is 143500877520.
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.
923 x 716 x 572 x 752 x 420 = 119392730096640
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.
923 : 1, 13, 71, 923
716 : 1, 2, 4, 179, 358, 716
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,716,572,752,420, is 1.
Now, the common factors can be found like this.
923:13x 71
716:2x 2x 179
572:2x 2x 11x 13
752:2x 2x 2x 2x 47
420:2x 2x 3x 5x 7
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 13 = 832
Therefore, the value for common factors is 832.
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 = 119392730096640/(1x832)
LCM = 119392730096640/832
LCM = 143500877520
Thus, we can understand that the LCM of 923,716,572,752,420 is 143500877520.
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FAQs on LCM of 923, 716, 572, 752, 420
1. What is the LCM of 923, 716, 572, 752, 420?
Answer: LCM of 923, 716, 572, 752, 420 is 143500877520.
2. How to calculate the LCM of 923, 716, 572, 752, 420?
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 923, 716, 572, 752, 420.
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}.