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LCM of 654, 670, 107, 889, 254

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 654, 670, 107, 889, 254 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 654, 670, 107, 889, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,670,107,889,254

Given numbers are 654,670,107,889,254

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 654,670,107,889,254 is 20840498070.

Find LCM of 654,670,107,889,254 with Prime Factorization


2 654, 670, 107, 889, 254
127 327, 335, 107, 889, 127
327, 335, 107, 7, 1

Multiply the prime numbers at the bottom and the left side.

2 x 127 x 327 x 335 x 107 x 7 x 1 = 20840498070

Therefore, the lowest common multiple of 654,670,107,889,254 is 20840498070.

LCM Formula to Find Lowest Common Multiple of 654,670,107,889,254

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.

654 x 670 x 107 x 889 x 254 = 10586973019560

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

670 : 1, 2, 5, 10, 67, 134, 335, 670

107 : 1, 107

889 : 1, 7, 127, 889

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,670,107,889,254, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

670:2x 5x 67

107:107

889:7x 127

254:2x 127

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 127 = 508

Therefore, the value for common factors is 508.

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 = 10586973019560/(1x508)

LCM = 10586973019560/508

LCM = 20840498070

Thus, we can understand that the LCM of 654,670,107,889,254 is 20840498070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 670, 107, 889, 254

1. What is the LCM of 654, 670, 107, 889, 254?

Answer: LCM of 654, 670, 107, 889, 254 is 20840498070.

2. How to calculate the LCM of 654, 670, 107, 889, 254?

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 654, 670, 107, 889, 254.

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}.