LCM for 40 and 155
What's the Least Common Multiple (LCM) of 40 and 155?
Answer
(One thousand, two hundred forty)
Finding LCM for 40 and 155 using GCF of these numbers
The first method to find LCM for numbers 40 and 155 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 155 is 5, so
LCM = (40 × 155) ÷ 5
LCM = 6200 ÷ 5
LCM = 1240
Finding LCM for 40 and 155 by Listing Multiples
The second method to find LCM for numbers 40 and 155 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320
Multiples of 155: 155, 310, 465, 620, 775, 930, 1085, 1240, 1395, 1550
So the LCM for 40 and 155 is 1240
Finding LCM for 40 and 155 by Prime Factorization
Another method to find LCM for numbers 40 and 155 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 155: 5, 31 (exponent form: 51, 311)
23 × 51 × 311 = 1240
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
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LCM Table
About "Least Common Multiple" Calculator
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