Given numbers are 536,749,292,338

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

The LCM of 536,749,292,338 is 4952861368.

Find LCM of 536,749,292,338 with Prime Factorization

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

2 x 2 x 134 x 749 x 73 x 169 = 4952861368

Therefore, the lowest common multiple of 536,749,292,338 is 4952861368.

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.

536 x 749 x 292 x 338 = 39622890944

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

749 : 1, 7, 107, 749

292 : 1, 2, 4, 73, 146, 292

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,749,292,338, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

749:7x 107

292:2x 2x 73

338:2x 13x 13

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 2 = 8

Therefore, the value for common factors is 8.

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 = 39622890944/(1x8)

LCM = 39622890944/8

LCM = 4952861368

Thus, we can understand that the LCM of 536,749,292,338 is 4952861368.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 970, 568, 103, 995
• LCM of 807, 881, 580, 243
• LCM of 509, 455, 857, 207
• LCM of 766, 948, 120, 694
• LCM of 768, 721, 896, 315

1. What is the LCM of 536, 749, 292, 338?

Answer: LCM of 536, 749, 292, 338 is 4952861368.

2. How to calculate the LCM of 536, 749, 292, 338?

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 536, 749, 292, 338.

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}.