Least Common Multiple of 95/67, 85/61, 60/55, 47/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/67, 85/61, 60/55, 47/798 quickly i.e. 910860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/67, 85/61, 60/55, 47/798 is 910860.

LCM(95/67, 85/61, 60/55, 47/798) = 910860

LCM of 95/67, 85/61, 60/55, 47/798

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 95/67,85/61,60/55,47/798

Given numbers are 95/67,85/61,60/55,47/798

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 95,85,60,47

Least Common Multiple of Numerators i.e. LCM of 95,85,60,47 is 910860.

GCF of Denominators means GCF of 67,61,55,798 as per the given fractions.

GCF of 67,61,55,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,85,60,47

LCM of Fractions 95/67,85/61,60/55,47/798 is 910860

5 95, 85, 60, 47
19, 17, 12, 47

∴ So the LCM of the given numbers is 5 x 19 x 17 x 12 x 47 = 910860

Least Common Multiple of 95,85,60,47 with GCF Formula

Least Common Multiple of 95,85,60,47 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 95,85,60,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,85,60,47) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(95,85,60,47) x common factors =1 x 25 = 25

LCM(95,85,60,47) = ( 95 × 85 × 60 × 47 ) / 25

LCM(95,85,60,47) = 22771500 / 25

LCM(95,85,60,47) = 910860


Lets's calculate GCF of 67,61,55,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 910860/1

Therefore the LCM of Fractions 95/67,85/61,60/55,47/798 is 910860

Greatest Common Factor of 67,61,55,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,61,55,798 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 67,61,55,798 . The biggest common factor number is the GCF number.
So the greatest common factor 67,61,55,798 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 95/67, 85/61, 60/55, 47/798

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 95/67, 85/61, 60/55, 47/798?

Answer: LCM of Numerators as per given numbers 95/67, 85/61, 60/55, 47/798 is

LCM of Numerators i.e. for 95,85,60,47 is 910860

GCF of denominators i.e. for 67,61,55,798 is 1.

Thus, LCM of Fractions is 910860.Finally, LCM of Fractions for 95/67, 85/61, 60/55, 47/798 is 910860.