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LCM of 142, 984, 781, 956, 173

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


Find the LCM of 142, 984, 781, 956, 173 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 142, 984, 781, 956, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,984,781,956,173

Given numbers are 142,984,781,956,173

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

The LCM of 142,984,781,956,173 is 31775334888.

Find LCM of 142,984,781,956,173 with Prime Factorization


2 142, 984, 781, 956, 173
2 71, 492, 781, 478, 173
71 71, 246, 781, 239, 173
1, 246, 11, 239, 173

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

2 x 2 x 71 x 1 x 246 x 11 x 239 x 173 = 31775334888

Therefore, the lowest common multiple of 142,984,781,956,173 is 31775334888.

LCM Formula to Find Lowest Common Multiple of 142,984,781,956,173

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.

142 x 984 x 781 x 956 x 173 = 18048390216384

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.

142 : 1, 2, 71, 142

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

781 : 1, 11, 71, 781

956 : 1, 2, 4, 239, 478, 956

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,984,781,956,173, is 1.

Now, the common factors can be found like this.

142:2x 71

984:2x 2x 2x 3x 41

781:11x 71

956:2x 2x 239

173:173

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 2x 71 = 568

Therefore, the value for common factors is 568.

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 = 18048390216384/(1x568)

LCM = 18048390216384/568

LCM = 31775334888

Thus, we can understand that the LCM of 142,984,781,956,173 is 31775334888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 984, 781, 956, 173

1. What is the LCM of 142, 984, 781, 956, 173?

Answer: LCM of 142, 984, 781, 956, 173 is 31775334888.

2. How to calculate the LCM of 142, 984, 781, 956, 173?

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 142, 984, 781, 956, 173.

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}.