LCM of 276, 748, 341, 735, 773
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 748, 341, 735, 773 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 276, 748, 341, 735, 773. So, keep reading to learn more.
Given numbers are 276,748,341,735,773
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,748,341,735,773 is 303010697220.
Find LCM of 276,748,341,735,773 with Prime Factorization
| 2 | 276, 748, 341, 735, 773 |
| 2 | 138, 374, 341, 735, 773 |
| 3 | 69, 187, 341, 735, 773 |
| 11 | 23, 187, 341, 245, 773 |
| 23, 17, 31, 245, 773 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 17 x 31 x 245 x 773 = 303010697220
Therefore, the lowest common multiple of 276,748,341,735,773 is 303010697220.
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.
276 x 748 x 341 x 735 x 773 = 39997412033040
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
341 : 1, 11, 31, 341
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
773 : 1, 773
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,748,341,735,773, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
748:2x 2x 11x 17
341:11x 31
735:3x 5x 7x 7
773:773
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 39997412033040/(1x132)
LCM = 39997412033040/132
LCM = 303010697220
Thus, we can understand that the LCM of 276,748,341,735,773 is 303010697220.
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FAQs on LCM of 276, 748, 341, 735, 773
1. What is the LCM of 276, 748, 341, 735, 773?
Answer: LCM of 276, 748, 341, 735, 773 is 303010697220.
2. How to calculate the LCM of 276, 748, 341, 735, 773?
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 276, 748, 341, 735, 773.
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}.