Least Common Multiple of 345/793, 1026/9272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/793, 1026/9272 quickly i.e. 117990/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/793, 1026/9272 is 117990/61.

LCM(345/793, 1026/9272) = 117990/61

LCM of 345/793, 1026/9272

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 345/793,1026/9272

Given numbers are 345/793,1026/9272

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 345,1026

Least Common Multiple of Numerators i.e. LCM of 345,1026 is 117990.

GCF of Denominators means GCF of 793,9272 as per the given fractions.

GCF of 793,9272 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,1026

LCM of Fractions 345/793,1026/9272 is 117990/61

3 345, 1026
115, 342

∴ So the LCM of the given numbers is 3 x 115 x 342 = 117990

Least Common Multiple of 345,1026 with GCF Formula

Least Common Multiple of 345,1026 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 345,1026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,1026) = 3

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

GCF(345,1026) x common factors =3 x 1 = 3

LCM(345,1026) = ( 345 × 1026 ) / 3

LCM(345,1026) = 353970 / 3

LCM(345,1026) = 117990


Lets's calculate GCF of 793,9272

61 793, 9272
13, 152

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117990/61

Therefore the LCM of Fractions 345/793,1026/9272 is 117990/61

Greatest Common Factor of 793,9272 By Matching Biggest Common Factor Method

Greatest Common Factor of 793,9272 By Matching Biggest Common Factor Method

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Factors of 9272

List of positive integer factors of 9272 that divides 9272 without a remainder.

1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272

Greatest Common Factor

We found the factors 793,9272 . The biggest common factor number is the GCF number.
So the greatest common factor 793,9272 is 61.


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 345/793, 1026/9272

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 345/793, 1026/9272?

Answer: LCM of Numerators as per given numbers 345/793, 1026/9272 is

LCM of Numerators i.e. for 345,1026 is 117990

GCF of denominators i.e. for 793,9272 is 61.

Thus, LCM of Fractions is 117990/61.Finally, LCM of Fractions for 345/793, 1026/9272 is 117990/61.