LCM of 929, 868, 510, 676, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 929, 868, 510, 676, 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 929, 868, 510, 676, 420. So, keep reading to learn more.
Given numbers are 929,868,510,676,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 929,868,510,676,420 is 34750601340.
Find LCM of 929,868,510,676,420 with Prime Factorization
| 2 | 929, 868, 510, 676, 420 |
| 2 | 929, 434, 255, 338, 210 |
| 3 | 929, 217, 255, 169, 105 |
| 5 | 929, 217, 85, 169, 35 |
| 7 | 929, 217, 17, 169, 7 |
| 929, 31, 17, 169, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 929 x 31 x 17 x 169 x 1 = 34750601340
Therefore, the lowest common multiple of 929,868,510,676,420 is 34750601340.
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.
929 x 868 x 510 x 676 x 420 = 116762020502400
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.
929 : 1, 929
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
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 929,868,510,676,420, is 1.
Now, the common factors can be found like this.
929:929
868:2x 2x 7x 31
510:2x 3x 5x 17
676:2x 2x 13x 13
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 3x 5x 7 = 3360
Therefore, the value for common factors is 3360.
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 = 116762020502400/(1x3360)
LCM = 116762020502400/3360
LCM = 34750601340
Thus, we can understand that the LCM of 929,868,510,676,420 is 34750601340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 929, 868, 510, 676, 420
1. What is the LCM of 929, 868, 510, 676, 420?
Answer: LCM of 929, 868, 510, 676, 420 is 34750601340.
2. How to calculate the LCM of 929, 868, 510, 676, 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 929, 868, 510, 676, 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}.