LCM of 862, 398, 501, 690, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 398, 501, 690, 760 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 862, 398, 501, 690, 760. So, keep reading to learn more.
Given numbers are 862,398,501,690,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,398,501,690,760 is 751120302120.
Find LCM of 862,398,501,690,760 with Prime Factorization
| 2 | 862, 398, 501, 690, 760 |
| 3 | 431, 199, 501, 345, 380 |
| 5 | 431, 199, 167, 115, 380 |
| 431, 199, 167, 23, 76 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 431 x 199 x 167 x 23 x 76 = 751120302120
Therefore, the lowest common multiple of 862,398,501,690,760 is 751120302120.
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.
862 x 398 x 501 x 690 x 760 = 90134436254400
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.
862 : 1, 2, 431, 862
398 : 1, 2, 199, 398
501 : 1, 3, 167, 501
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,398,501,690,760, is 1.
Now, the common factors can be found like this.
862:2x 431
398:2x 199
501:3x 167
690:2x 3x 5x 23
760:2x 2x 2x 5x 19
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 90134436254400/(1x120)
LCM = 90134436254400/120
LCM = 751120302120
Thus, we can understand that the LCM of 862,398,501,690,760 is 751120302120.
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FAQs on LCM of 862, 398, 501, 690, 760
1. What is the LCM of 862, 398, 501, 690, 760?
Answer: LCM of 862, 398, 501, 690, 760 is 751120302120.
2. How to calculate the LCM of 862, 398, 501, 690, 760?
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 862, 398, 501, 690, 760.
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}.