LCM of 760, 312, 812, 988, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 312, 812, 988, 298 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 760, 312, 812, 988, 298. So, keep reading to learn more.
Given numbers are 760,312,812,988,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,312,812,988,298 is 896521080.
Find LCM of 760,312,812,988,298 with Prime Factorization
| 2 | 760, 312, 812, 988, 298 |
| 2 | 380, 156, 406, 494, 149 |
| 2 | 190, 78, 203, 247, 149 |
| 13 | 95, 39, 203, 247, 149 |
| 19 | 95, 3, 203, 19, 149 |
| 5, 3, 203, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 19 x 5 x 3 x 203 x 1 x 149 = 896521080
Therefore, the lowest common multiple of 760,312,812,988,298 is 896521080.
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.
760 x 312 x 812 x 988 x 298 = 56688820930560
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
298 : 1, 2, 149, 298
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,312,812,988,298, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
312:2x 2x 2x 3x 13
812:2x 2x 7x 29
988:2x 2x 13x 19
298:2x 149
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 2x 13x 19 = 31616
Therefore, the value for common factors is 31616.
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 = 56688820930560/(2x31616)
LCM = 56688820930560/63232
LCM = 896521080
Thus, we can understand that the LCM of 760,312,812,988,298 is 896521080.
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FAQs on LCM of 760, 312, 812, 988, 298
1. What is the LCM of 760, 312, 812, 988, 298?
Answer: LCM of 760, 312, 812, 988, 298 is 896521080.
2. How to calculate the LCM of 760, 312, 812, 988, 298?
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 760, 312, 812, 988, 298.
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}.