Least Common Multiple of 135/14, 650/66, 202/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/14, 650/66, 202/92 quickly i.e. 886275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/14, 650/66, 202/92 is 886275.

LCM(135/14, 650/66, 202/92) = 886275

LCM of 135/14, 650/66, 202/92

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 135/14,650/66,202/92

Given numbers are 135/14,650/66,202/92

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 135,650,202

Least Common Multiple of Numerators i.e. LCM of 135,650,202 is 1772550.

GCF of Denominators means GCF of 14,66,92 as per the given fractions.

GCF of 14,66,92 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,650,202

LCM of Fractions 135/14,650/66,202/92 is 886275

2 135, 650, 202
5 135, 325, 101
27, 65, 101

∴ So the LCM of the given numbers is 2 x 5 x 27 x 65 x 101 = 1772550

Least Common Multiple of 135,650,202 with GCF Formula

Least Common Multiple of 135,650,202 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 135,650,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,650,202) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(135,650,202) x common factors =1 x 10 = 10

LCM(135,650,202) = ( 135 × 650 × 202 ) / 10

LCM(135,650,202) = 17725500 / 10

LCM(135,650,202) = 1772550


Lets's calculate GCF of 14,66,92

2 14, 66, 92
7, 33, 46

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1772550/2

Therefore the LCM of Fractions 135/14,650/66,202/92 is 886275

Greatest Common Factor of 14,66,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,66,92 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 14,66,92 . The biggest common factor number is the GCF number.
So the greatest common factor 14,66,92 is 2.


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Frequently Asked Questions on Fractional LCM of 135/14, 650/66, 202/92

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 135/14, 650/66, 202/92?

Answer: LCM of Numerators as per given numbers 135/14, 650/66, 202/92 is

LCM of Numerators i.e. for 135,650,202 is 1772550

GCF of denominators i.e. for 14,66,92 is 2.

Thus, LCM of Fractions is 886275.Finally, LCM of Fractions for 135/14, 650/66, 202/92 is 886275.