LCM of 842, 350, 694, 308, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 350, 694, 308, 735 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 842, 350, 694, 308, 735. So, keep reading to learn more.
Given numbers are 842,350,694,308,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,350,694,308,735 is 23622267900.
Find LCM of 842,350,694,308,735 with Prime Factorization
| 2 | 842, 350, 694, 308, 735 |
| 5 | 421, 175, 347, 154, 735 |
| 7 | 421, 35, 347, 154, 147 |
| 421, 5, 347, 22, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 421 x 5 x 347 x 22 x 21 = 23622267900
Therefore, the lowest common multiple of 842,350,694,308,735 is 23622267900.
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.
842 x 350 x 694 x 308 x 735 = 46299645084000
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.
842 : 1, 2, 421, 842
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
694 : 1, 2, 347, 694
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,350,694,308,735, is 1.
Now, the common factors can be found like this.
842:2x 421
350:2x 5x 5x 7
694:2x 347
308:2x 2x 7x 11
735:3x 5x 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 5x 7x 7 = 1960
Therefore, the value for common factors is 1960.
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 = 46299645084000/(1x1960)
LCM = 46299645084000/1960
LCM = 23622267900
Thus, we can understand that the LCM of 842,350,694,308,735 is 23622267900.
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FAQs on LCM of 842, 350, 694, 308, 735
1. What is the LCM of 842, 350, 694, 308, 735?
Answer: LCM of 842, 350, 694, 308, 735 is 23622267900.
2. How to calculate the LCM of 842, 350, 694, 308, 735?
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 842, 350, 694, 308, 735.
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}.