LCM of 518, 503, 140, 744, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 503, 140, 744, 652 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 518, 503, 140, 744, 652. So, keep reading to learn more.
Given numbers are 518,503,140,744,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,503,140,744,652 is 78994761720.
Find LCM of 518,503,140,744,652 with Prime Factorization
| 2 | 518, 503, 140, 744, 652 |
| 2 | 259, 503, 70, 372, 326 |
| 7 | 259, 503, 35, 186, 163 |
| 37, 503, 5, 186, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 37 x 503 x 5 x 186 x 163 = 78994761720
Therefore, the lowest common multiple of 518,503,140,744,652 is 78994761720.
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.
518 x 503 x 140 x 744 x 652 = 17694826625280
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
503 : 1, 503
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,503,140,744,652, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
503:503
140:2x 2x 5x 7
744:2x 2x 2x 3x 31
652:2x 2x 163
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 7 = 224
Therefore, the value for common factors is 224.
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 = 17694826625280/(1x224)
LCM = 17694826625280/224
LCM = 78994761720
Thus, we can understand that the LCM of 518,503,140,744,652 is 78994761720.
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FAQs on LCM of 518, 503, 140, 744, 652
1. What is the LCM of 518, 503, 140, 744, 652?
Answer: LCM of 518, 503, 140, 744, 652 is 78994761720.
2. How to calculate the LCM of 518, 503, 140, 744, 652?
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 518, 503, 140, 744, 652.
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}.