LCM of 761, 918, 425, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 918, 425, 387 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 761, 918, 425, 387. So, keep reading to learn more.
Given numbers are 761,918,425,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,918,425,387 is 750992850.
Find LCM of 761,918,425,387 with Prime Factorization
| 3 | 761, 918, 425, 387 |
| 3 | 761, 306, 425, 129 |
| 17 | 761, 102, 425, 43 |
| 761, 6, 25, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 761 x 6 x 25 x 43 = 750992850
Therefore, the lowest common multiple of 761,918,425,387 is 750992850.
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.
761 x 918 x 425 x 387 = 114901906050
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.
761 : 1, 761
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
425 : 1, 5, 17, 25, 85, 425
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,918,425,387, is 1.
Now, the common factors can be found like this.
761:761
918:2x 3x 3x 3x 17
425:5x 5x 17
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 114901906050/(1x153)
LCM = 114901906050/153
LCM = 750992850
Thus, we can understand that the LCM of 761,918,425,387 is 750992850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 918, 425, 387
1. What is the LCM of 761, 918, 425, 387?
Answer: LCM of 761, 918, 425, 387 is 750992850.
2. How to calculate the LCM of 761, 918, 425, 387?
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 761, 918, 425, 387.
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}.