LCM of 868, 524, 370, 140, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 868, 524, 370, 140, 968 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 868, 524, 370, 140, 968. So, keep reading to learn more.
Given numbers are 868,524,370,140,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 868,524,370,140,968 is 5090707160.
Find LCM of 868,524,370,140,968 with Prime Factorization
| 2 | 868, 524, 370, 140, 968 |
| 2 | 434, 262, 185, 70, 484 |
| 5 | 217, 131, 185, 35, 242 |
| 7 | 217, 131, 37, 7, 242 |
| 31, 131, 37, 1, 242 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 31 x 131 x 37 x 1 x 242 = 5090707160
Therefore, the lowest common multiple of 868,524,370,140,968 is 5090707160.
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.
868 x 524 x 370 x 140 x 968 = 22806368076800
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.
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
524 : 1, 2, 4, 131, 262, 524
370 : 1, 2, 5, 10, 37, 74, 185, 370
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,524,370,140,968, is 2.
Now, the common factors can be found like this.
868:2x 2x 7x 31
524:2x 2x 131
370:2x 5x 37
140:2x 2x 5x 7
968:2x 2x 2x 11x 11
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 5x 7 = 2240
Therefore, the value for common factors is 2240.
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 = 22806368076800/(2x2240)
LCM = 22806368076800/4480
LCM = 5090707160
Thus, we can understand that the LCM of 868,524,370,140,968 is 5090707160.
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FAQs on LCM of 868, 524, 370, 140, 968
1. What is the LCM of 868, 524, 370, 140, 968?
Answer: LCM of 868, 524, 370, 140, 968 is 5090707160.
2. How to calculate the LCM of 868, 524, 370, 140, 968?
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 868, 524, 370, 140, 968.
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}.