Least Common Multiple of 83/29, 931/16, 350/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/29, 931/16, 350/942 quickly i.e. 3863650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/29, 931/16, 350/942 is 3863650.

LCM(83/29, 931/16, 350/942) = 3863650

LCM of 83/29, 931/16, 350/942

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 83/29,931/16,350/942

Given numbers are 83/29,931/16,350/942

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 83,931,350

Least Common Multiple of Numerators i.e. LCM of 83,931,350 is 3863650.

GCF of Denominators means GCF of 29,16,942 as per the given fractions.

GCF of 29,16,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,931,350

LCM of Fractions 83/29,931/16,350/942 is 3863650

7 83, 931, 350
83, 133, 50

∴ So the LCM of the given numbers is 7 x 83 x 133 x 50 = 3863650

Least Common Multiple of 83,931,350 with GCF Formula

Least Common Multiple of 83,931,350 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 83,931,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,931,350) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(83,931,350) x common factors =1 x 7 = 7

LCM(83,931,350) = ( 83 × 931 × 350 ) / 7

LCM(83,931,350) = 27045550 / 7

LCM(83,931,350) = 3863650


Lets's calculate GCF of 29,16,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3863650/1

Therefore the LCM of Fractions 83/29,931/16,350/942 is 3863650

Greatest Common Factor of 29,16,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,16,942 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 29,16,942 . The biggest common factor number is the GCF number.
So the greatest common factor 29,16,942 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/29, 931/16, 350/942

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 83/29, 931/16, 350/942?

Answer: LCM of Numerators as per given numbers 83/29, 931/16, 350/942 is

LCM of Numerators i.e. for 83,931,350 is 3863650

GCF of denominators i.e. for 29,16,942 is 1.

Thus, LCM of Fractions is 3863650.Finally, LCM of Fractions for 83/29, 931/16, 350/942 is 3863650.