LCM of 298, 119, 646, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 119, 646, 564 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 298, 119, 646, 564. So, keep reading to learn more.
Given numbers are 298,119,646,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,119,646,564 is 190005396.
Find LCM of 298,119,646,564 with Prime Factorization
| 2 | 298, 119, 646, 564 |
| 17 | 149, 119, 323, 282 |
| 149, 7, 19, 282 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 149 x 7 x 19 x 282 = 190005396
Therefore, the lowest common multiple of 298,119,646,564 is 190005396.
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.
298 x 119 x 646 x 564 = 12920366928
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.
298 : 1, 2, 149, 298
119 : 1, 7, 17, 119
646 : 1, 2, 17, 19, 34, 38, 323, 646
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,119,646,564, is 1.
Now, the common factors can be found like this.
298:2x 149
119:7x 17
646:2x 17x 19
564:2x 2x 3x 47
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 17 = 68
Therefore, the value for common factors is 68.
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 = 12920366928/(1x68)
LCM = 12920366928/68
LCM = 190005396
Thus, we can understand that the LCM of 298,119,646,564 is 190005396.
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FAQs on LCM of 298, 119, 646, 564
1. What is the LCM of 298, 119, 646, 564?
Answer: LCM of 298, 119, 646, 564 is 190005396.
2. How to calculate the LCM of 298, 119, 646, 564?
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 298, 119, 646, 564.
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}.