Least Common Multiple of 41/66, 42/55, 40/61, 70/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/66, 42/55, 40/61, 70/296 quickly i.e. 34440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/66, 42/55, 40/61, 70/296 is 34440.

LCM(41/66, 42/55, 40/61, 70/296) = 34440

LCM of 41/66, 42/55, 40/61, 70/296

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 41/66,42/55,40/61,70/296

Given numbers are 41/66,42/55,40/61,70/296

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 41,42,40,70

Least Common Multiple of Numerators i.e. LCM of 41,42,40,70 is 34440.

GCF of Denominators means GCF of 66,55,61,296 as per the given fractions.

GCF of 66,55,61,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,42,40,70

LCM of Fractions 41/66,42/55,40/61,70/296 is 34440

2 41, 42, 40, 70
5 41, 21, 20, 35
7 41, 21, 4, 7
41, 3, 4, 1

∴ So the LCM of the given numbers is 2 x 5 x 7 x 41 x 3 x 4 x 1 = 34440

Least Common Multiple of 41,42,40,70 with GCF Formula

Least Common Multiple of 41,42,40,70 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 41,42,40,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,42,40,70) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(41,42,40,70) x common factors =1 x 140 = 140

LCM(41,42,40,70) = ( 41 × 42 × 40 × 70 ) / 140

LCM(41,42,40,70) = 4821600 / 140

LCM(41,42,40,70) = 34440


Lets's calculate GCF of 66,55,61,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34440/1

Therefore the LCM of Fractions 41/66,42/55,40/61,70/296 is 34440

Greatest Common Factor of 66,55,61,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,55,61,296 By Matching Biggest Common Factor Method

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 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 66,55,61,296 . The biggest common factor number is the GCF number.
So the greatest common factor 66,55,61,296 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 41/66, 42/55, 40/61, 70/296

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 41/66, 42/55, 40/61, 70/296?

Answer: LCM of Numerators as per given numbers 41/66, 42/55, 40/61, 70/296 is

LCM of Numerators i.e. for 41,42,40,70 is 34440

GCF of denominators i.e. for 66,55,61,296 is 1.

Thus, LCM of Fractions is 34440.Finally, LCM of Fractions for 41/66, 42/55, 40/61, 70/296 is 34440.