Least Common Multiple of 309/35, 942/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/35, 942/105 quickly i.e. 97026/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/35, 942/105 is 97026/35.

LCM(309/35, 942/105) = 97026/35

LCM of 309/35, 942/105

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 309/35,942/105

Given numbers are 309/35,942/105

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 309,942

Least Common Multiple of Numerators i.e. LCM of 309,942 is 97026.

GCF of Denominators means GCF of 35,105 as per the given fractions.

GCF of 35,105 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,942

LCM of Fractions 309/35,942/105 is 97026/35

3 309, 942
103, 314

∴ So the LCM of the given numbers is 3 x 103 x 314 = 97026

Least Common Multiple of 309,942 with GCF Formula

Least Common Multiple of 309,942 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 309,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,942) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(309,942) x common factors =3 x 1 = 3

LCM(309,942) = ( 309 × 942 ) / 3

LCM(309,942) = 291078 / 3

LCM(309,942) = 97026


Lets's calculate GCF of 35,105

5 35, 105
7 7, 21
1, 3

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97026/35

Therefore the LCM of Fractions 309/35,942/105 is 97026/35

Greatest Common Factor of 35,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,105 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 35,105 . The biggest common factor number is the GCF number.
So the greatest common factor 35,105 is 35.


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 309/35, 942/105

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 309/35, 942/105?

Answer: LCM of Numerators as per given numbers 309/35, 942/105 is

LCM of Numerators i.e. for 309,942 is 97026

GCF of denominators i.e. for 35,105 is 35.

Thus, LCM of Fractions is 97026/35.Finally, LCM of Fractions for 309/35, 942/105 is 97026/35.