LCM of 112, 357, 578, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 357, 578, 679 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 112, 357, 578, 679. So, keep reading to learn more.
Given numbers are 112,357,578,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,357,578,679 is 9419088.
Find LCM of 112,357,578,679 with Prime Factorization
| 2 | 112, 357, 578, 679 |
| 7 | 56, 357, 289, 679 |
| 17 | 8, 51, 289, 97 |
| 8, 3, 17, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 8 x 3 x 17 x 97 = 9419088
Therefore, the lowest common multiple of 112,357,578,679 is 9419088.
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.
112 x 357 x 578 x 679 = 15692200608
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
357 : 1, 3, 7, 17, 21, 51, 119, 357
578 : 1, 2, 17, 34, 289, 578
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,357,578,679, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
357:3x 7x 17
578:2x 17x 17
679:7x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 15692200608/(1x1666)
LCM = 15692200608/1666
LCM = 9419088
Thus, we can understand that the LCM of 112,357,578,679 is 9419088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 112, 357, 578, 679
1. What is the LCM of 112, 357, 578, 679?
Answer: LCM of 112, 357, 578, 679 is 9419088.
2. How to calculate the LCM of 112, 357, 578, 679?
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 112, 357, 578, 679.
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}.