Least Common Multiple of 37/867, 266/85, 984/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/867, 266/85, 984/155 quickly i.e. 4842264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/867, 266/85, 984/155 is 4842264.

LCM(37/867, 266/85, 984/155) = 4842264

LCM of 37/867, 266/85, 984/155

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 37/867,266/85,984/155

Given numbers are 37/867,266/85,984/155

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 37,266,984

Least Common Multiple of Numerators i.e. LCM of 37,266,984 is 4842264.

GCF of Denominators means GCF of 867,85,155 as per the given fractions.

GCF of 867,85,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,266,984

LCM of Fractions 37/867,266/85,984/155 is 4842264

2 37, 266, 984
37, 133, 492

∴ So the LCM of the given numbers is 2 x 37 x 133 x 492 = 4842264

Least Common Multiple of 37,266,984 with GCF Formula

Least Common Multiple of 37,266,984 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 37,266,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,266,984) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(37,266,984) x common factors =1 x 2 = 2

LCM(37,266,984) = ( 37 × 266 × 984 ) / 2

LCM(37,266,984) = 9684528 / 2

LCM(37,266,984) = 4842264


Lets's calculate GCF of 867,85,155

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4842264/1

Therefore the LCM of Fractions 37/867,266/85,984/155 is 4842264

Greatest Common Factor of 867,85,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,85,155 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 867,85,155 . The biggest common factor number is the GCF number.
So the greatest common factor 867,85,155 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/867, 266/85, 984/155

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 37/867, 266/85, 984/155?

Answer: LCM of Numerators as per given numbers 37/867, 266/85, 984/155 is

LCM of Numerators i.e. for 37,266,984 is 4842264

GCF of denominators i.e. for 867,85,155 is 1.

Thus, LCM of Fractions is 4842264.Finally, LCM of Fractions for 37/867, 266/85, 984/155 is 4842264.