LCM of 974, 180, 312, 497, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 180, 312, 497, 219 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 974, 180, 312, 497, 219. So, keep reading to learn more.
Given numbers are 974,180,312,497,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,180,312,497,219 is 82690203960.
Find LCM of 974,180,312,497,219 with Prime Factorization
| 2 | 974, 180, 312, 497, 219 |
| 2 | 487, 90, 156, 497, 219 |
| 3 | 487, 45, 78, 497, 219 |
| 487, 15, 26, 497, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 487 x 15 x 26 x 497 x 73 = 82690203960
Therefore, the lowest common multiple of 974,180,312,497,219 is 82690203960.
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.
974 x 180 x 312 x 497 x 219 = 5953694685120
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.
974 : 1, 2, 487, 974
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
497 : 1, 7, 71, 497
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,180,312,497,219, is 1.
Now, the common factors can be found like this.
974:2x 487
180:2x 2x 3x 3x 5
312:2x 2x 2x 3x 13
497:7x 71
219:3x 73
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 3 = 72
Therefore, the value for common factors is 72.
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 = 5953694685120/(1x72)
LCM = 5953694685120/72
LCM = 82690203960
Thus, we can understand that the LCM of 974,180,312,497,219 is 82690203960.
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FAQs on LCM of 974, 180, 312, 497, 219
1. What is the LCM of 974, 180, 312, 497, 219?
Answer: LCM of 974, 180, 312, 497, 219 is 82690203960.
2. How to calculate the LCM of 974, 180, 312, 497, 219?
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 974, 180, 312, 497, 219.
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}.