Least Common Multiple of 83/42, 50/36, 38/92, 29/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/42, 50/36, 38/92, 29/451 quickly i.e. 2286650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/42, 50/36, 38/92, 29/451 is 2286650.

LCM(83/42, 50/36, 38/92, 29/451) = 2286650

LCM of 83/42, 50/36, 38/92, 29/451

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 83/42,50/36,38/92,29/451

Given numbers are 83/42,50/36,38/92,29/451

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 83,50,38,29

Least Common Multiple of Numerators i.e. LCM of 83,50,38,29 is 2286650.

GCF of Denominators means GCF of 42,36,92,451 as per the given fractions.

GCF of 42,36,92,451 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,50,38,29

LCM of Fractions 83/42,50/36,38/92,29/451 is 2286650

2 83, 50, 38, 29
83, 25, 19, 29

∴ So the LCM of the given numbers is 2 x 83 x 25 x 19 x 29 = 2286650

Least Common Multiple of 83,50,38,29 with GCF Formula

Least Common Multiple of 83,50,38,29 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 83,50,38,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,50,38,29) = 1

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

GCF(83,50,38,29) x common factors =1 x 2 = 2

LCM(83,50,38,29) = ( 83 × 50 × 38 × 29 ) / 2

LCM(83,50,38,29) = 4573300 / 2

LCM(83,50,38,29) = 2286650


Lets's calculate GCF of 42,36,92,451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2286650/1

Therefore the LCM of Fractions 83/42,50/36,38/92,29/451 is 2286650

Greatest Common Factor of 42,36,92,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,36,92,451 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

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 92

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

1,2,4,23,46,92

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 42,36,92,451 . The biggest common factor number is the GCF number.
So the greatest common factor 42,36,92,451 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/42, 50/36, 38/92, 29/451

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 83/42, 50/36, 38/92, 29/451?

Answer: LCM of Numerators as per given numbers 83/42, 50/36, 38/92, 29/451 is

LCM of Numerators i.e. for 83,50,38,29 is 2286650

GCF of denominators i.e. for 42,36,92,451 is 1.

Thus, LCM of Fractions is 2286650.Finally, LCM of Fractions for 83/42, 50/36, 38/92, 29/451 is 2286650.