LCM of 760, 870, 895, 551, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 870, 895, 551, 294 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, 870, 895, 551, 294. So, keep reading to learn more.
Given numbers are 760,870,895,551,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,870,895,551,294 is 579938520.
Find LCM of 760,870,895,551,294 with Prime Factorization
| 2 | 760, 870, 895, 551, 294 |
| 3 | 380, 435, 895, 551, 147 |
| 5 | 380, 145, 895, 551, 49 |
| 19 | 76, 29, 179, 551, 49 |
| 29 | 4, 29, 179, 29, 49 |
| 4, 1, 179, 1, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 29 x 4 x 1 x 179 x 1 x 49 = 579938520
Therefore, the lowest common multiple of 760,870,895,551,294 is 579938520.
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 870 x 895 x 551 x 294 = 95863837356000
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
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
895 : 1, 5, 179, 895
551 : 1, 19, 29, 551
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,870,895,551,294, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
870:2x 3x 5x 29
895:5x 179
551:19x 29
294:2x 3x 7x 7
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 3x 5x 5x 19x 29 = 165300
Therefore, the value for common factors is 165300.
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 = 95863837356000/(1x165300)
LCM = 95863837356000/165300
LCM = 579938520
Thus, we can understand that the LCM of 760,870,895,551,294 is 579938520.
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FAQs on LCM of 760, 870, 895, 551, 294
1. What is the LCM of 760, 870, 895, 551, 294?
Answer: LCM of 760, 870, 895, 551, 294 is 579938520.
2. How to calculate the LCM of 760, 870, 895, 551, 294?
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, 870, 895, 551, 294.
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}.