Least Common Multiple of 9540/154, 5688/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9540/154, 5688/934 quickly i.e. 753660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9540/154, 5688/934 is 753660.

LCM(9540/154, 5688/934) = 753660

LCM of 9540/154, 5688/934

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 9540/154,5688/934

Given numbers are 9540/154,5688/934

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 9540,5688

Least Common Multiple of Numerators i.e. LCM of 9540,5688 is 1507320.

GCF of Denominators means GCF of 154,934 as per the given fractions.

GCF of 154,934 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9540,5688

LCM of Fractions 9540/154,5688/934 is 753660

2 9540, 5688
2 4770, 2844
3 2385, 1422
3 795, 474
265, 158

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 265 x 158 = 1507320

Least Common Multiple of 9540,5688 with GCF Formula

Least Common Multiple of 9540,5688 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 9540,5688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9540,5688) = 36

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

GCF(9540,5688) x common factors =36 x 1 = 36

LCM(9540,5688) = ( 9540 × 5688 ) / 36

LCM(9540,5688) = 54263520 / 36

LCM(9540,5688) = 1507320


Lets's calculate GCF of 154,934

2 154, 934
77, 467

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1507320/2

Therefore the LCM of Fractions 9540/154,5688/934 is 753660

Greatest Common Factor of 154,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,934 By Matching Biggest Common Factor Method

Factors of 154

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

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

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 154,934 . The biggest common factor number is the GCF number.
So the greatest common factor 154,934 is 2.


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 9540/154, 5688/934

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 9540/154, 5688/934?

Answer: LCM of Numerators as per given numbers 9540/154, 5688/934 is

LCM of Numerators i.e. for 9540,5688 is 1507320

GCF of denominators i.e. for 154,934 is 2.

Thus, LCM of Fractions is 753660.Finally, LCM of Fractions for 9540/154, 5688/934 is 753660.