Least Common Multiple of 88/41, 67/70, 94/20, 40/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/41, 67/70, 94/20, 40/902 quickly i.e. 1385560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/41, 67/70, 94/20, 40/902 is 1385560.

LCM(88/41, 67/70, 94/20, 40/902) = 1385560

LCM of 88/41, 67/70, 94/20, 40/902

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 88/41,67/70,94/20,40/902

Given numbers are 88/41,67/70,94/20,40/902

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 88,67,94,40

Least Common Multiple of Numerators i.e. LCM of 88,67,94,40 is 1385560.

GCF of Denominators means GCF of 41,70,20,902 as per the given fractions.

GCF of 41,70,20,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,67,94,40

LCM of Fractions 88/41,67/70,94/20,40/902 is 1385560

2 88, 67, 94, 40
2 44, 67, 47, 20
2 22, 67, 47, 10
11, 67, 47, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 67 x 47 x 5 = 1385560

Least Common Multiple of 88,67,94,40 with GCF Formula

Least Common Multiple of 88,67,94,40 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 88,67,94,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,67,94,40) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(88,67,94,40) x common factors =1 x 16 = 16

LCM(88,67,94,40) = ( 88 × 67 × 94 × 40 ) / 16

LCM(88,67,94,40) = 22168960 / 16

LCM(88,67,94,40) = 1385560


Lets's calculate GCF of 41,70,20,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1385560/1

Therefore the LCM of Fractions 88/41,67/70,94/20,40/902 is 1385560

Greatest Common Factor of 41,70,20,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,70,20,902 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 41,70,20,902 . The biggest common factor number is the GCF number.
So the greatest common factor 41,70,20,902 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/41, 67/70, 94/20, 40/902

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 88/41, 67/70, 94/20, 40/902?

Answer: LCM of Numerators as per given numbers 88/41, 67/70, 94/20, 40/902 is

LCM of Numerators i.e. for 88,67,94,40 is 1385560

GCF of denominators i.e. for 41,70,20,902 is 1.

Thus, LCM of Fractions is 1385560.Finally, LCM of Fractions for 88/41, 67/70, 94/20, 40/902 is 1385560.