LCM for 100 and 400
What's the Least Common Multiple (LCM) of 100 and 400?
(Four hundred)
Finding LCM for 100 and 400 using GCF's of these numbers
The first method to find LCM for numbers 100 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 100 and 400 is 100, so
LCM = (100 × 400) ÷ 100
LCM = 40000 ÷ 100
LCM = 400
Finding LCM for 100 and 400 by Listing Multiples
The second method to find LCM for numbers 100 and 400 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 100: 100, 200, 300, 400, 500, 600
Multiples of 400: 400, 800, 1200, 1600, 2000, 2400, [...], 400
So the LCM for 100 and 400 is 400
Finding LCM for 100 and 400 by Prime Factorization
Another method to find LCM for numbers 100 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)
All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)
24 × 52 = 400
Related Calculations
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
85 | 400 | 6800 |
86 | 400 | 17200 |
87 | 400 | 34800 |
88 | 400 | 4400 |
89 | 400 | 35600 |
90 | 400 | 3600 |
91 | 400 | 36400 |
92 | 400 | 9200 |
93 | 400 | 37200 |
94 | 400 | 18800 |
95 | 400 | 7600 |
96 | 400 | 2400 |
97 | 400 | 38800 |
98 | 400 | 19600 |
99 | 400 | 39600 |
100 | 400 | 400 |
101 | 400 | 40400 |
102 | 400 | 20400 |
103 | 400 | 41200 |
104 | 400 | 5200 |
105 | 400 | 8400 |
106 | 400 | 21200 |
107 | 400 | 42800 |
108 | 400 | 10800 |
109 | 400 | 43600 |
110 | 400 | 4400 |
111 | 400 | 44400 |
112 | 400 | 2800 |
113 | 400 | 45200 |
114 | 400 | 22800 |
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