Least Common Multiple of 1293/945, 5901/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1293/945, 5901/154 quickly i.e. 363333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1293/945, 5901/154 is 363333.

LCM(1293/945, 5901/154) = 363333

LCM of 1293/945, 5901/154

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 1293/945,5901/154

Given numbers are 1293/945,5901/154

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 1293,5901

Least Common Multiple of Numerators i.e. LCM of 1293,5901 is 2543331.

GCF of Denominators means GCF of 945,154 as per the given fractions.

GCF of 945,154 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1293,5901

LCM of Fractions 1293/945,5901/154 is 363333

3 1293, 5901
431, 1967

∴ So the LCM of the given numbers is 3 x 431 x 1967 = 2543331

Least Common Multiple of 1293,5901 with GCF Formula

Least Common Multiple of 1293,5901 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 1293,5901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1293,5901) = 3

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

GCF(1293,5901) x common factors =3 x 1 = 3

LCM(1293,5901) = ( 1293 × 5901 ) / 3

LCM(1293,5901) = 7629993 / 3

LCM(1293,5901) = 2543331


Lets's calculate GCF of 945,154

7 945, 154
135, 22

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2543331/7

Therefore the LCM of Fractions 1293/945,5901/154 is 363333

Greatest Common Factor of 945,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,154 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 945,154 . The biggest common factor number is the GCF number.
So the greatest common factor 945,154 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1293/945, 5901/154

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 1293/945, 5901/154?

Answer: LCM of Numerators as per given numbers 1293/945, 5901/154 is

LCM of Numerators i.e. for 1293,5901 is 2543331

GCF of denominators i.e. for 945,154 is 7.

Thus, LCM of Fractions is 363333.Finally, LCM of Fractions for 1293/945, 5901/154 is 363333.