Least Common Multiple of 49/95, 571/15, 234/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/95, 571/15, 234/235 quickly i.e. 6547086/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/95, 571/15, 234/235 is 6547086/5.

LCM(49/95, 571/15, 234/235) = 6547086/5

LCM of 49/95, 571/15, 234/235

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 49/95,571/15,234/235

Given numbers are 49/95,571/15,234/235

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 49,571,234

Least Common Multiple of Numerators i.e. LCM of 49,571,234 is 6547086.

GCF of Denominators means GCF of 95,15,235 as per the given fractions.

GCF of 95,15,235 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,571,234

LCM of Fractions 49/95,571/15,234/235 is 6547086/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 6547086

Least Common Multiple of 49,571,234 with GCF Formula

Least Common Multiple of 49,571,234 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 49,571,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,571,234) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,571,234) x common factors =1 x 1 = 1

LCM(49,571,234) = ( 49 × 571 × 234 ) / 1

LCM(49,571,234) = 6547086 / 1

LCM(49,571,234) = 6547086


Lets's calculate GCF of 95,15,235

5 95, 15, 235
19, 3, 47

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6547086/5

Therefore the LCM of Fractions 49/95,571/15,234/235 is 6547086/5

Greatest Common Factor of 95,15,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,15,235 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 95,15,235 . The biggest common factor number is the GCF number.
So the greatest common factor 95,15,235 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/95, 571/15, 234/235

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 49/95, 571/15, 234/235?

Answer: LCM of Numerators as per given numbers 49/95, 571/15, 234/235 is

LCM of Numerators i.e. for 49,571,234 is 6547086

GCF of denominators i.e. for 95,15,235 is 5.

Thus, LCM of Fractions is 6547086/5.Finally, LCM of Fractions for 49/95, 571/15, 234/235 is 6547086/5.