Least Common Multiple of 950/97, 490/11, 380/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 950/97, 490/11, 380/505 quickly i.e. 93100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 950/97, 490/11, 380/505 is 93100.

LCM(950/97, 490/11, 380/505) = 93100

LCM of 950/97, 490/11, 380/505

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 950/97,490/11,380/505

Given numbers are 950/97,490/11,380/505

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 950,490,380

Least Common Multiple of Numerators i.e. LCM of 950,490,380 is 93100.

GCF of Denominators means GCF of 97,11,505 as per the given fractions.

GCF of 97,11,505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 950,490,380

LCM of Fractions 950/97,490/11,380/505 is 93100

2 950, 490, 380
5 475, 245, 190
19 95, 49, 38
5, 49, 2

∴ So the LCM of the given numbers is 2 x 5 x 19 x 5 x 49 x 2 = 93100

Least Common Multiple of 950,490,380 with GCF Formula

Least Common Multiple of 950,490,380 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 950,490,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,490,380) = 10

common factors(in case of two or more numbers have common factors) = 190

GCF(950,490,380) x common factors =10 x 190 = 1900

LCM(950,490,380) = ( 950 × 490 × 380 ) / 1900

LCM(950,490,380) = 176890000 / 1900

LCM(950,490,380) = 93100


Lets's calculate GCF of 97,11,505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93100/1

Therefore the LCM of Fractions 950/97,490/11,380/505 is 93100

Greatest Common Factor of 97,11,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,11,505 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 11

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

1,11

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 97,11,505 . The biggest common factor number is the GCF number.
So the greatest common factor 97,11,505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 950/97, 490/11, 380/505

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 950/97, 490/11, 380/505?

Answer: LCM of Numerators as per given numbers 950/97, 490/11, 380/505 is

LCM of Numerators i.e. for 950,490,380 is 93100

GCF of denominators i.e. for 97,11,505 is 1.

Thus, LCM of Fractions is 93100.Finally, LCM of Fractions for 950/97, 490/11, 380/505 is 93100.