LCM of 902, 473, 389, 707, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 473, 389, 707, 279 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 902, 473, 389, 707, 279. So, keep reading to learn more.
Given numbers are 902,473,389,707,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,473,389,707,279 is 2976104739762.
Find LCM of 902,473,389,707,279 with Prime Factorization
| 11 | 902, 473, 389, 707, 279 |
| 82, 43, 389, 707, 279 |
Multiply the prime numbers at the bottom and the left side.
11 x 82 x 43 x 389 x 707 x 279 = 2976104739762
Therefore, the lowest common multiple of 902,473,389,707,279 is 2976104739762.
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.
902 x 473 x 389 x 707 x 279 = 32737152137382
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
473 : 1, 11, 43, 473
389 : 1, 389
707 : 1, 7, 101, 707
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,473,389,707,279, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
473:11x 43
389:389
707:7x 101
279:3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 32737152137382/(1x11)
LCM = 32737152137382/11
LCM = 2976104739762
Thus, we can understand that the LCM of 902,473,389,707,279 is 2976104739762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 473, 389, 707, 279
1. What is the LCM of 902, 473, 389, 707, 279?
Answer: LCM of 902, 473, 389, 707, 279 is 2976104739762.
2. How to calculate the LCM of 902, 473, 389, 707, 279?
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 902, 473, 389, 707, 279.
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}.