Least Common Multiple of 34/117, 398/972, 476/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/117, 398/972, 476/802 quickly i.e. 94724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/117, 398/972, 476/802 is 94724.

LCM(34/117, 398/972, 476/802) = 94724

LCM of 34/117, 398/972, 476/802

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 34/117,398/972,476/802

Given numbers are 34/117,398/972,476/802

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 34,398,476

Least Common Multiple of Numerators i.e. LCM of 34,398,476 is 94724.

GCF of Denominators means GCF of 117,972,802 as per the given fractions.

GCF of 117,972,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,398,476

LCM of Fractions 34/117,398/972,476/802 is 94724

2 34, 398, 476
17 17, 199, 238
1, 199, 14

∴ So the LCM of the given numbers is 2 x 17 x 1 x 199 x 14 = 94724

Least Common Multiple of 34,398,476 with GCF Formula

Least Common Multiple of 34,398,476 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 34,398,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,398,476) = 2

common factors(in case of two or more numbers have common factors) = 34

GCF(34,398,476) x common factors =2 x 34 = 68

LCM(34,398,476) = ( 34 × 398 × 476 ) / 68

LCM(34,398,476) = 6441232 / 68

LCM(34,398,476) = 94724


Lets's calculate GCF of 117,972,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94724/1

Therefore the LCM of Fractions 34/117,398/972,476/802 is 94724

Greatest Common Factor of 117,972,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,972,802 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 117,972,802 . The biggest common factor number is the GCF number.
So the greatest common factor 117,972,802 is 1.


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 34/117, 398/972, 476/802

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 34/117, 398/972, 476/802?

Answer: LCM of Numerators as per given numbers 34/117, 398/972, 476/802 is

LCM of Numerators i.e. for 34,398,476 is 94724

GCF of denominators i.e. for 117,972,802 is 1.

Thus, LCM of Fractions is 94724.Finally, LCM of Fractions for 34/117, 398/972, 476/802 is 94724.