LCM of 779, 191, 573, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 191, 573, 931 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 779, 191, 573, 931. So, keep reading to learn more.
Given numbers are 779,191,573,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,191,573,931 is 21871983.
Find LCM of 779,191,573,931 with Prime Factorization
| 19 | 779, 191, 573, 931 |
| 191 | 41, 191, 573, 49 |
| 41, 1, 3, 49 |
Multiply the prime numbers at the bottom and the left side.
19 x 191 x 41 x 1 x 3 x 49 = 21871983
Therefore, the lowest common multiple of 779,191,573,931 is 21871983.
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.
779 x 191 x 573 x 931 = 79373426307
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.
779 : 1, 19, 41, 779
191 : 1, 191
573 : 1, 3, 191, 573
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,191,573,931, is 1.
Now, the common factors can be found like this.
779:19x 41
191:191
573:3x 191
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 191 = 3629
Therefore, the value for common factors is 3629.
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 = 79373426307/(1x3629)
LCM = 79373426307/3629
LCM = 21871983
Thus, we can understand that the LCM of 779,191,573,931 is 21871983.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 191, 573, 931
1. What is the LCM of 779, 191, 573, 931?
Answer: LCM of 779, 191, 573, 931 is 21871983.
2. How to calculate the LCM of 779, 191, 573, 931?
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 779, 191, 573, 931.
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}.