Least Common Multiple of 95/600, 38/830, 117/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/600, 38/830, 117/948 quickly i.e. 11115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/600, 38/830, 117/948 is 11115.

LCM(95/600, 38/830, 117/948) = 11115

LCM of 95/600, 38/830, 117/948

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 95/600,38/830,117/948

Given numbers are 95/600,38/830,117/948

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 95,38,117

Least Common Multiple of Numerators i.e. LCM of 95,38,117 is 22230.

GCF of Denominators means GCF of 600,830,948 as per the given fractions.

GCF of 600,830,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,38,117

LCM of Fractions 95/600,38/830,117/948 is 11115

19 95, 38, 117
5, 2, 117

∴ So the LCM of the given numbers is 19 x 5 x 2 x 117 = 22230

Least Common Multiple of 95,38,117 with GCF Formula

Least Common Multiple of 95,38,117 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 95,38,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,38,117) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(95,38,117) x common factors =1 x 19 = 19

LCM(95,38,117) = ( 95 × 38 × 117 ) / 19

LCM(95,38,117) = 422370 / 19

LCM(95,38,117) = 22230


Lets's calculate GCF of 600,830,948

2 600, 830, 948
300, 415, 474

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22230/2

Therefore the LCM of Fractions 95/600,38/830,117/948 is 11115

Greatest Common Factor of 600,830,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,830,948 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 600,830,948 . The biggest common factor number is the GCF number.
So the greatest common factor 600,830,948 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 95/600, 38/830, 117/948

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 95/600, 38/830, 117/948?

Answer: LCM of Numerators as per given numbers 95/600, 38/830, 117/948 is

LCM of Numerators i.e. for 95,38,117 is 22230

GCF of denominators i.e. for 600,830,948 is 2.

Thus, LCM of Fractions is 11115.Finally, LCM of Fractions for 95/600, 38/830, 117/948 is 11115.