LCM of 490, 319, 154, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 319, 154, 446 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 490, 319, 154, 446. So, keep reading to learn more.
Given numbers are 490,319,154,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,319,154,446 is 34857130.
Find LCM of 490,319,154,446 with Prime Factorization
| 2 | 490, 319, 154, 446 |
| 7 | 245, 319, 77, 223 |
| 11 | 35, 319, 11, 223 |
| 35, 29, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 35 x 29 x 1 x 223 = 34857130
Therefore, the lowest common multiple of 490,319,154,446 is 34857130.
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.
490 x 319 x 154 x 446 = 10735996040
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
319 : 1, 11, 29, 319
154 : 1, 2, 7, 11, 14, 22, 77, 154
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,319,154,446, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
319:11x 29
154:2x 7x 11
446:2x 223
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 10735996040/(1x308)
LCM = 10735996040/308
LCM = 34857130
Thus, we can understand that the LCM of 490,319,154,446 is 34857130.
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FAQs on LCM of 490, 319, 154, 446
1. What is the LCM of 490, 319, 154, 446?
Answer: LCM of 490, 319, 154, 446 is 34857130.
2. How to calculate the LCM of 490, 319, 154, 446?
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 490, 319, 154, 446.
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}.