LCM of 237, 690, 428, 967, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 690, 428, 967, 749 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 237, 690, 428, 967, 749. So, keep reading to learn more.
Given numbers are 237,690,428,967,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,690,428,967,749 is 78961332660.
Find LCM of 237,690,428,967,749 with Prime Factorization
| 2 | 237, 690, 428, 967, 749 |
| 3 | 237, 345, 214, 967, 749 |
| 107 | 79, 115, 214, 967, 749 |
| 79, 115, 2, 967, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 79 x 115 x 2 x 967 x 7 = 78961332660
Therefore, the lowest common multiple of 237,690,428,967,749 is 78961332660.
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.
237 x 690 x 428 x 967 x 749 = 50693175567720
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.
237 : 1, 3, 79, 237
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
428 : 1, 2, 4, 107, 214, 428
967 : 1, 967
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,690,428,967,749, is 1.
Now, the common factors can be found like this.
237:3x 79
690:2x 3x 5x 23
428:2x 2x 107
967:967
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 107 = 642
Therefore, the value for common factors is 642.
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 = 50693175567720/(1x642)
LCM = 50693175567720/642
LCM = 78961332660
Thus, we can understand that the LCM of 237,690,428,967,749 is 78961332660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 690, 428, 967, 749
1. What is the LCM of 237, 690, 428, 967, 749?
Answer: LCM of 237, 690, 428, 967, 749 is 78961332660.
2. How to calculate the LCM of 237, 690, 428, 967, 749?
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 237, 690, 428, 967, 749.
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}.