LCM for 40 and 150

What's the Least Common Multiple (LCM) of 40 and 150?

Answer: LCM of 40 and 150 is 600

(Six hundred)

Finding LCM for 40 and 150 using GCF's of these numbers

The first method to find LCM for numbers 40 and 150 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 150 is 10, so

LCM = (40 × 150) ÷ 10

LCM = 6000 ÷ 10

LCM = 600

Finding LCM for 40 and 150 by Listing Multiples

The second method to find LCM for numbers 40 and 150 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680

Multiples of 150: 150, 300, 450, 600, 750, 900

So the LCM for 40 and 150 is 600

Finding LCM for 40 and 150 by Prime Factorization

Another method to find LCM for numbers 40 and 150 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 150: 2, 3, 5, 5 (exponent form: 21, 31, 52)

23 × 52 × 31 = 600

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 40 and 150? (The answer is: 600). Select the first number (e.g. '40') and the second number (e.g. '150'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

LCM Table

Number 1Number 2LCM
25150150
261501950
271501350
281502100
291504350
30150150
311504650
321502400
331501650
341502550
351501050
36150900
371505550
381502850
391501950
40150
411506150
421501050
431506450
441503300
45150450
461503450
471507050
481501200
491507350
50150150
511502550
521503900
531507950
541501350

FAQ

What's the Least Common Multiple (LCM) of 40 and 150?

LCM of 40 and 150 is 600