Least Common Multiple of 38/95, 67/62, 67/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/95, 67/62, 67/985 quickly i.e. 2546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/95, 67/62, 67/985 is 2546.

LCM(38/95, 67/62, 67/985) = 2546

LCM of 38/95, 67/62, 67/985

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 38/95,67/62,67/985

Given numbers are 38/95,67/62,67/985

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 38,67,67

Least Common Multiple of Numerators i.e. LCM of 38,67,67 is 2546.

GCF of Denominators means GCF of 95,62,985 as per the given fractions.

GCF of 95,62,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,67,67

LCM of Fractions 38/95,67/62,67/985 is 2546

67 38, 67, 67
38, 1, 1

∴ So the LCM of the given numbers is 67 x 38 x 1 x 1 = 2546

Least Common Multiple of 38,67,67 with GCF Formula

Least Common Multiple of 38,67,67 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 38,67,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,67,67) = 1

common factors(in case of two or more numbers have common factors) = 67

GCF(38,67,67) x common factors =1 x 67 = 67

LCM(38,67,67) = ( 38 × 67 × 67 ) / 67

LCM(38,67,67) = 170582 / 67

LCM(38,67,67) = 2546


Lets's calculate GCF of 95,62,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2546/1

Therefore the LCM of Fractions 38/95,67/62,67/985 is 2546

Greatest Common Factor of 95,62,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,62,985 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 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 95,62,985 . The biggest common factor number is the GCF number.
So the greatest common factor 95,62,985 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/95, 67/62, 67/985

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 38/95, 67/62, 67/985?

Answer: LCM of Numerators as per given numbers 38/95, 67/62, 67/985 is

LCM of Numerators i.e. for 38,67,67 is 2546

GCF of denominators i.e. for 95,62,985 is 1.

Thus, LCM of Fractions is 2546.Finally, LCM of Fractions for 38/95, 67/62, 67/985 is 2546.