Least Common Multiple of 490/76, 966/11, 404/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 490/76, 966/11, 404/375 quickly i.e. 6829620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/76, 966/11, 404/375 is 6829620.

LCM(490/76, 966/11, 404/375) = 6829620

LCM of 490/76, 966/11, 404/375

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 490/76,966/11,404/375

Given numbers are 490/76,966/11,404/375

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 490,966,404

Least Common Multiple of Numerators i.e. LCM of 490,966,404 is 6829620.

GCF of Denominators means GCF of 76,11,375 as per the given fractions.

GCF of 76,11,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,966,404

LCM of Fractions 490/76,966/11,404/375 is 6829620

2 490, 966, 404
7 245, 483, 202
35, 69, 202

∴ So the LCM of the given numbers is 2 x 7 x 35 x 69 x 202 = 6829620

Least Common Multiple of 490,966,404 with GCF Formula

Least Common Multiple of 490,966,404 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 490,966,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,966,404) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(490,966,404) x common factors =2 x 14 = 28

LCM(490,966,404) = ( 490 × 966 × 404 ) / 28

LCM(490,966,404) = 191229360 / 28

LCM(490,966,404) = 6829620


Lets's calculate GCF of 76,11,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6829620/1

Therefore the LCM of Fractions 490/76,966/11,404/375 is 6829620

Greatest Common Factor of 76,11,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,11,375 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 76,11,375 . The biggest common factor number is the GCF number.
So the greatest common factor 76,11,375 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 490/76, 966/11, 404/375

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 490/76, 966/11, 404/375?

Answer: LCM of Numerators as per given numbers 490/76, 966/11, 404/375 is

LCM of Numerators i.e. for 490,966,404 is 6829620

GCF of denominators i.e. for 76,11,375 is 1.

Thus, LCM of Fractions is 6829620.Finally, LCM of Fractions for 490/76, 966/11, 404/375 is 6829620.