Least Common Multiple of 945, 820, 416, 133, 149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 945, 820, 416, 133, 149 i.e. 45629831520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 945, 820, 416, 133, 149 is 45629831520.

LCM(945, 820, 416, 133, 149) = 45629831520

LCM of 945, 820, 416, 133, 149

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 945,820,416,133,149

Least Common Multiple (LCM) of 945,820,416,133,149 is 45629831520

2 945, 820, 416, 133, 149
2 945, 410, 208, 133, 149
5 945, 205, 104, 133, 149
7 189, 41, 104, 133, 149
27, 41, 104, 19, 149

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 27 x 41 x 104 x 19 x 149 = 45629831520

Least Common Multiple of 945,820,416,133,149 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 945,820,416,133,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,820,416,133,149) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(945,820,416,133,149) x common factors =1 x 140 = 140

LCM(945,820,416,133,149) = ( 945 × 820 × 416 × 133 × 149 ) / 140

LCM(945,820,416,133,149) = 6388176412800 / 140

LCM(945,820,416,133,149) = 45629831520

∴ Least Common Multiple of 945,820,416,133,149 is 45629831520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 945, 820, 416, 133, 149

1. What is the LCM of 945, 820, 416, 133, 149?

Answer: LCM of 945, 820, 416, 133, 149 is 45629831520.

2. What are the Factors of 45629831520?

Answer: Factors of 45629831520 are . There are integers that are factors of 45629831520

3. How to Find the LCM of 945, 820, 416, 133, 149 ?

Least Common Multiple of 945, 820, 416, 133, 149.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(945, 820, 416, 133, 149) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 41 x 149 = 45629831520.