Least Common Multiple of 41/42, 13/92, 29/88, 46/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/42, 13/92, 29/88, 46/599 quickly i.e. 711022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/42, 13/92, 29/88, 46/599 is 711022.

LCM(41/42, 13/92, 29/88, 46/599) = 711022

LCM of 41/42, 13/92, 29/88, 46/599

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 41/42,13/92,29/88,46/599

Given numbers are 41/42,13/92,29/88,46/599

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 41,13,29,46

Least Common Multiple of Numerators i.e. LCM of 41,13,29,46 is 711022.

GCF of Denominators means GCF of 42,92,88,599 as per the given fractions.

GCF of 42,92,88,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,13,29,46

LCM of Fractions 41/42,13/92,29/88,46/599 is 711022

Given numbers has no common factors except 1. So, there LCM is their product i.e 711022

Least Common Multiple of 41,13,29,46 with GCF Formula

Least Common Multiple of 41,13,29,46 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 41,13,29,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,13,29,46) = 1

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

GCF(41,13,29,46) x common factors =1 x 1 = 1

LCM(41,13,29,46) = ( 41 × 13 × 29 × 46 ) / 1

LCM(41,13,29,46) = 711022 / 1

LCM(41,13,29,46) = 711022


Lets's calculate GCF of 42,92,88,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 711022/1

Therefore the LCM of Fractions 41/42,13/92,29/88,46/599 is 711022

Greatest Common Factor of 42,92,88,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,92,88,599 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 92

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

1,2,4,23,46,92

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 42,92,88,599 . The biggest common factor number is the GCF number.
So the greatest common factor 42,92,88,599 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/42, 13/92, 29/88, 46/599

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 41/42, 13/92, 29/88, 46/599?

Answer: LCM of Numerators as per given numbers 41/42, 13/92, 29/88, 46/599 is

LCM of Numerators i.e. for 41,13,29,46 is 711022

GCF of denominators i.e. for 42,92,88,599 is 1.

Thus, LCM of Fractions is 711022.Finally, LCM of Fractions for 41/42, 13/92, 29/88, 46/599 is 711022.