LCM of 995, 684, 210, 346, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 684, 210, 346, 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 995, 684, 210, 346, 294. So, keep reading to learn more.
Given numbers are 995,684,210,346,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,684,210,346,294 is 5769276660.
Find LCM of 995,684,210,346,294 with Prime Factorization
| 2 | 995, 684, 210, 346, 294 |
| 3 | 995, 342, 105, 173, 147 |
| 5 | 995, 114, 35, 173, 49 |
| 7 | 199, 114, 7, 173, 49 |
| 199, 114, 1, 173, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 199 x 114 x 1 x 173 x 7 = 5769276660
Therefore, the lowest common multiple of 995,684,210,346,294 is 5769276660.
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.
995 x 684 x 210 x 346 x 294 = 14538577183200
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.
995 : 1, 5, 199, 995
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
346 : 1, 2, 173, 346
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 995,684,210,346,294, is 1.
Now, the common factors can be found like this.
995:5x 199
684:2x 2x 3x 3x 19
210:2x 3x 5x 7
346:2x 173
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 2x 3x 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 14538577183200/(1x2520)
LCM = 14538577183200/2520
LCM = 5769276660
Thus, we can understand that the LCM of 995,684,210,346,294 is 5769276660.
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FAQs on LCM of 995, 684, 210, 346, 294
1. What is the LCM of 995, 684, 210, 346, 294?
Answer: LCM of 995, 684, 210, 346, 294 is 5769276660.
2. How to calculate the LCM of 995, 684, 210, 346, 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 995, 684, 210, 346, 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}.