Least Common Multiple of 542/152, 5655/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/152, 5655/370 quickly i.e. 1532505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/152, 5655/370 is 1532505.

LCM(542/152, 5655/370) = 1532505

LCM of 542/152, 5655/370

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 542/152,5655/370

Given numbers are 542/152,5655/370

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 542,5655

Least Common Multiple of Numerators i.e. LCM of 542,5655 is 3065010.

GCF of Denominators means GCF of 152,370 as per the given fractions.

GCF of 152,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,5655

LCM of Fractions 542/152,5655/370 is 1532505

Given numbers has no common factors except 1. So, there LCM is their product i.e 3065010

Least Common Multiple of 542,5655 with GCF Formula

Least Common Multiple of 542,5655 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 542,5655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,5655) = 1

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

GCF(542,5655) x common factors =1 x 1 = 1

LCM(542,5655) = ( 542 × 5655 ) / 1

LCM(542,5655) = 3065010 / 1

LCM(542,5655) = 3065010


Lets's calculate GCF of 152,370

2 152, 370
76, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3065010/2

Therefore the LCM of Fractions 542/152,5655/370 is 1532505

Greatest Common Factor of 152,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,370 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 152,370 . The biggest common factor number is the GCF number.
So the greatest common factor 152,370 is 2.


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 542/152, 5655/370

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 542/152, 5655/370?

Answer: LCM of Numerators as per given numbers 542/152, 5655/370 is

LCM of Numerators i.e. for 542,5655 is 3065010

GCF of denominators i.e. for 152,370 is 2.

Thus, LCM of Fractions is 1532505.Finally, LCM of Fractions for 542/152, 5655/370 is 1532505.