LCM of 377, 319, 378, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 319, 378, 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 377, 319, 378, 749. So, keep reading to learn more.
Given numbers are 377,319,378,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,319,378,749 is 167729562.
Find LCM of 377,319,378,749 with Prime Factorization
| 7 | 377, 319, 378, 749 |
| 29 | 377, 319, 54, 107 |
| 13, 11, 54, 107 |
Multiply the prime numbers at the bottom and the left side.
7 x 29 x 13 x 11 x 54 x 107 = 167729562
Therefore, the lowest common multiple of 377,319,378,749 is 167729562.
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.
377 x 319 x 378 x 749 = 34049101086
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.
377 : 1, 13, 29, 377
319 : 1, 11, 29, 319
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,319,378,749, is 1.
Now, the common factors can be found like this.
377:13x 29
319:11x 29
378:2x 3x 3x 3x 7
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.
7x 29 = 203
Therefore, the value for common factors is 203.
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 = 34049101086/(1x203)
LCM = 34049101086/203
LCM = 167729562
Thus, we can understand that the LCM of 377,319,378,749 is 167729562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 377, 319, 378, 749
1. What is the LCM of 377, 319, 378, 749?
Answer: LCM of 377, 319, 378, 749 is 167729562.
2. How to calculate the LCM of 377, 319, 378, 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 377, 319, 378, 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}.