LCM of 703, 298, 551, 580, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 298, 551, 580, 919 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 703, 298, 551, 580, 919. So, keep reading to learn more.
Given numbers are 703,298,551,580,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,298,551,580,919 is 55832245940.
Find LCM of 703,298,551,580,919 with Prime Factorization
| 2 | 703, 298, 551, 580, 919 |
| 19 | 703, 149, 551, 290, 919 |
| 29 | 37, 149, 29, 290, 919 |
| 37, 149, 1, 10, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 29 x 37 x 149 x 1 x 10 x 919 = 55832245940
Therefore, the lowest common multiple of 703,298,551,580,919 is 55832245940.
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.
703 x 298 x 551 x 580 x 919 = 61527135025880
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.
703 : 1, 19, 37, 703
298 : 1, 2, 149, 298
551 : 1, 19, 29, 551
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,298,551,580,919, is 1.
Now, the common factors can be found like this.
703:19x 37
298:2x 149
551:19x 29
580:2x 2x 5x 29
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19x 29 = 1102
Therefore, the value for common factors is 1102.
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 = 61527135025880/(1x1102)
LCM = 61527135025880/1102
LCM = 55832245940
Thus, we can understand that the LCM of 703,298,551,580,919 is 55832245940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 703, 298, 551, 580, 919
1. What is the LCM of 703, 298, 551, 580, 919?
Answer: LCM of 703, 298, 551, 580, 919 is 55832245940.
2. How to calculate the LCM of 703, 298, 551, 580, 919?
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 703, 298, 551, 580, 919.
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}.