Least Common Multiple of 40, 68, 77, 896

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 40, 68, 77, 896 i.e. 837760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 68, 77, 896 is 837760.

LCM(40, 68, 77, 896) = 837760

LCM of 40, 68, 77, 896

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

LCM of:

Least Common Multiple of 40,68,77,896

Least Common Multiple (LCM) of 40,68,77,896 is 837760

2 40, 68, 77, 896
2 20, 34, 77, 448
2 10, 17, 77, 224
7 5, 17, 77, 112
5, 17, 11, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 17 x 11 x 16 = 837760

Least Common Multiple of 40,68,77,896 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 40,68,77,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,68,77,896) = 1

common factors(in case of two or more numbers have common factors) = 224

GCF(40,68,77,896) x common factors =1 x 224 = 224

LCM(40,68,77,896) = ( 40 × 68 × 77 × 896 ) / 224

LCM(40,68,77,896) = 187658240 / 224

LCM(40,68,77,896) = 837760

∴ Least Common Multiple of 40,68,77,896 is 837760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 40, 68, 77, 896

1. What is the LCM of 40, 68, 77, 896?

Answer: LCM of 40, 68, 77, 896 is 837760.

2. What are the Factors of 837760?

Answer: Factors of 837760 are . There are integers that are factors of 837760

3. How to Find the LCM of 40, 68, 77, 896 ?

Least Common Multiple of 40, 68, 77, 896.

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(40, 68, 77, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 11 x 17 = 837760.