LCM of 894, 253, 950, 840, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 253, 950, 840, 684 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 894, 253, 950, 840, 684. So, keep reading to learn more.
Given numbers are 894,253,950,840,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,253,950,840,684 is 9024661800.
Find LCM of 894,253,950,840,684 with Prime Factorization
| 2 | 894, 253, 950, 840, 684 |
| 2 | 447, 253, 475, 420, 342 |
| 3 | 447, 253, 475, 210, 171 |
| 5 | 149, 253, 475, 70, 57 |
| 19 | 149, 253, 95, 14, 57 |
| 149, 253, 5, 14, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 149 x 253 x 5 x 14 x 3 = 9024661800
Therefore, the lowest common multiple of 894,253,950,840,684 is 9024661800.
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.
894 x 253 x 950 x 840 x 684 = 123457373424000
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
253 : 1, 11, 23, 253
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,253,950,840,684, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
253:11x 23
950:2x 5x 5x 19
840:2x 2x 2x 3x 5x 7
684:2x 2x 3x 3x 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 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 123457373424000/(1x13680)
LCM = 123457373424000/13680
LCM = 9024661800
Thus, we can understand that the LCM of 894,253,950,840,684 is 9024661800.
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FAQs on LCM of 894, 253, 950, 840, 684
1. What is the LCM of 894, 253, 950, 840, 684?
Answer: LCM of 894, 253, 950, 840, 684 is 9024661800.
2. How to calculate the LCM of 894, 253, 950, 840, 684?
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 894, 253, 950, 840, 684.
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}.