LCM of 835, 236, 354, 970, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 236, 354, 970, 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 835, 236, 354, 970, 679. So, keep reading to learn more.
Given numbers are 835,236,354,970,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,236,354,970,679 is 401411220.
Find LCM of 835,236,354,970,679 with Prime Factorization
| 2 | 835, 236, 354, 970, 679 |
| 5 | 835, 118, 177, 485, 679 |
| 59 | 167, 118, 177, 97, 679 |
| 97 | 167, 2, 3, 97, 679 |
| 167, 2, 3, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 59 x 97 x 167 x 2 x 3 x 1 x 7 = 401411220
Therefore, the lowest common multiple of 835,236,354,970,679 is 401411220.
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.
835 x 236 x 354 x 970 x 679 = 45945528241200
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.
835 : 1, 5, 167, 835
236 : 1, 2, 4, 59, 118, 236
354 : 1, 2, 3, 6, 59, 118, 177, 354
970 : 1, 2, 5, 10, 97, 194, 485, 970
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,236,354,970,679, is 1.
Now, the common factors can be found like this.
835:5x 167
236:2x 2x 59
354:2x 3x 59
970:2x 5x 97
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 2x 5x 59x 97 = 114460
Therefore, the value for common factors is 114460.
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 = 45945528241200/(1x114460)
LCM = 45945528241200/114460
LCM = 401411220
Thus, we can understand that the LCM of 835,236,354,970,679 is 401411220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 236, 354, 970, 679
1. What is the LCM of 835, 236, 354, 970, 679?
Answer: LCM of 835, 236, 354, 970, 679 is 401411220.
2. How to calculate the LCM of 835, 236, 354, 970, 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 835, 236, 354, 970, 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}.