Least Common Multiple of 167/74, 211/69, 303/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 167/74, 211/69, 303/104 quickly i.e. 10676811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/74, 211/69, 303/104 is 10676811.

LCM(167/74, 211/69, 303/104) = 10676811

LCM of 167/74, 211/69, 303/104

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 167/74,211/69,303/104

Given numbers are 167/74,211/69,303/104

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 167,211,303

Least Common Multiple of Numerators i.e. LCM of 167,211,303 is 10676811.

GCF of Denominators means GCF of 74,69,104 as per the given fractions.

GCF of 74,69,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,211,303

LCM of Fractions 167/74,211/69,303/104 is 10676811

Given numbers has no common factors except 1. So, there LCM is their product i.e 10676811

Least Common Multiple of 167,211,303 with GCF Formula

Least Common Multiple of 167,211,303 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 167,211,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,211,303) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(167,211,303) x common factors =1 x 1 = 1

LCM(167,211,303) = ( 167 × 211 × 303 ) / 1

LCM(167,211,303) = 10676811 / 1

LCM(167,211,303) = 10676811


Lets's calculate GCF of 74,69,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10676811/1

Therefore the LCM of Fractions 167/74,211/69,303/104 is 10676811

Greatest Common Factor of 74,69,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,69,104 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 74,69,104 . The biggest common factor number is the GCF number.
So the greatest common factor 74,69,104 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 167/74, 211/69, 303/104

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 167/74, 211/69, 303/104?

Answer: LCM of Numerators as per given numbers 167/74, 211/69, 303/104 is

LCM of Numerators i.e. for 167,211,303 is 10676811

GCF of denominators i.e. for 74,69,104 is 1.

Thus, LCM of Fractions is 10676811.Finally, LCM of Fractions for 167/74, 211/69, 303/104 is 10676811.