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Least Common Multiple of 105/36, 150/54, 210/126

Know Least Common Multiple of fractions 105/36, 150/54, 210/126 quickly i.e. 1050/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/36, 150/54, 210/126 is 1050/18.

LCM(105/36, 150/54, 210/126) = 1050/18

LCM of 105/36, 150/54, 210/126

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 105/36,150/54,210/126

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 105,150,210

Least Common Multiple of Numerators i.e. LCM of 105,150,210 is 1050.

GCF of Denominators means GCF of 36,54,126 as per the given fractions.

GCF of 36,54,126 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,150,210

Least Common Multiple (LCM) of 105,150,210 By Common Division

2 105, 150, 210
3 105, 75, 105
5 35, 25, 35
7 7, 5, 7
1, 5, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 5 x 1 = 1050

Least Common Multiple of 105,150,210 with GCF Formula

Least Common Multiple of 105,150,210 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 105,150,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,150,210) = 15

common factors(in case of two or more numbers have common factors) = 210

GCF(105,150,210) x common factors =15 x 210 = 3150

LCM(105,150,210) = ( 105 × 150 × 210 ) / 3150

LCM(105,150,210) = 3307500 / 3150

LCM(105,150,210) = 1050


Lets's calculate GCF of 36,54,126

Greatest Common Factor (GCF) of 36,54,126 By Common Division

2 36, 54, 126
3 18, 27, 63
3 6, 9, 21
2, 3, 7

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1050/18

Therefore the LCM of Fractions 105/36,150/54,210/126 is 1050/18

Greatest Common Factor of 36,54,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,54,126 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 36,54,126 . The biggest common factor number is the GCF number.
So the greatest common factor 36,54,126 is 18.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 105/36, 150/54, 210/126

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 105/36, 150/54, 210/126?

Answer: LCM of Numerators as per given numbers 105/36, 150/54, 210/126 is

LCM of Numerators i.e. for 105,150,210 is 1050

GCF of denominators i.e. for 36,54,126 is 18.

Thus, LCM of Fractions is 1050/18.Finally, LCM of Fractions for 105/36, 150/54, 210/126 is 1050/18.