Least Common Multiple of 9/95, 7/41, 87/80, 63/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9/95, 7/41, 87/80, 63/490 quickly i.e. 1827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9/95, 7/41, 87/80, 63/490 is 1827.

LCM(9/95, 7/41, 87/80, 63/490) = 1827

LCM of 9/95, 7/41, 87/80, 63/490

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 9/95,7/41,87/80,63/490

Given numbers are 9/95,7/41,87/80,63/490

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 9,7,87,63

Least Common Multiple of Numerators i.e. LCM of 9,7,87,63 is 1827.

GCF of Denominators means GCF of 95,41,80,490 as per the given fractions.

GCF of 95,41,80,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9,7,87,63

LCM of Fractions 9/95,7/41,87/80,63/490 is 1827

3 9, 7, 87, 63
3 3, 7, 29, 21
7 1, 7, 29, 7
1, 1, 29, 1

∴ So the LCM of the given numbers is 3 x 3 x 7 x 1 x 1 x 29 x 1 = 1827

Least Common Multiple of 9,7,87,63 with GCF Formula

Least Common Multiple of 9,7,87,63 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 9,7,87,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9,7,87,63) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(9,7,87,63) x common factors =1 x 189 = 189

LCM(9,7,87,63) = ( 9 × 7 × 87 × 63 ) / 189

LCM(9,7,87,63) = 345303 / 189

LCM(9,7,87,63) = 1827


Lets's calculate GCF of 95,41,80,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1827/1

Therefore the LCM of Fractions 9/95,7/41,87/80,63/490 is 1827

Greatest Common Factor of 95,41,80,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,41,80,490 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 41

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

1,41

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 95,41,80,490 . The biggest common factor number is the GCF number.
So the greatest common factor 95,41,80,490 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9/95, 7/41, 87/80, 63/490

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 9/95, 7/41, 87/80, 63/490?

Answer: LCM of Numerators as per given numbers 9/95, 7/41, 87/80, 63/490 is

LCM of Numerators i.e. for 9,7,87,63 is 1827

GCF of denominators i.e. for 95,41,80,490 is 1.

Thus, LCM of Fractions is 1827.Finally, LCM of Fractions for 9/95, 7/41, 87/80, 63/490 is 1827.