LCM of 782, 506, 754, 276
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 506, 754, 276 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 782, 506, 754, 276. So, keep reading to learn more.
Given numbers are 782,506,754,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,506,754,276 is 19457724.
Find LCM of 782,506,754,276 with Prime Factorization
| 2 | 782, 506, 754, 276 |
| 23 | 391, 253, 377, 138 |
| 17, 11, 377, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 17 x 11 x 377 x 6 = 19457724
Therefore, the lowest common multiple of 782,506,754,276 is 19457724.
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.
782 x 506 x 754 x 276 = 82345087968
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
506 : 1, 2, 11, 22, 23, 46, 253, 506
754 : 1, 2, 13, 26, 29, 58, 377, 754
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,506,754,276, is 2.
Now, the common factors can be found like this.
782:2x 17x 23
506:2x 11x 23
754:2x 13x 29
276:2x 2x 3x 23
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 23x 23 = 2116
Therefore, the value for common factors is 2116.
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 = 82345087968/(2x2116)
LCM = 82345087968/4232
LCM = 19457724
Thus, we can understand that the LCM of 782,506,754,276 is 19457724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 506, 754, 276
1. What is the LCM of 782, 506, 754, 276?
Answer: LCM of 782, 506, 754, 276 is 19457724.
2. How to calculate the LCM of 782, 506, 754, 276?
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 782, 506, 754, 276.
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}.