Least Common Multiple of 39/152, 2945/5570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/152, 2945/5570 quickly i.e. 114855/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/152, 2945/5570 is 114855/2.

LCM(39/152, 2945/5570) = 114855/2

LCM of 39/152, 2945/5570

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 39/152,2945/5570

Given numbers are 39/152,2945/5570

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 39,2945

Least Common Multiple of Numerators i.e. LCM of 39,2945 is 114855.

GCF of Denominators means GCF of 152,5570 as per the given fractions.

GCF of 152,5570 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,2945

LCM of Fractions 39/152,2945/5570 is 114855/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 114855

Least Common Multiple of 39,2945 with GCF Formula

Least Common Multiple of 39,2945 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 39,2945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,2945) = 1

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

GCF(39,2945) x common factors =1 x 1 = 1

LCM(39,2945) = ( 39 × 2945 ) / 1

LCM(39,2945) = 114855 / 1

LCM(39,2945) = 114855


Lets's calculate GCF of 152,5570

2 152, 5570
76, 2785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114855/2

Therefore the LCM of Fractions 39/152,2945/5570 is 114855/2

Greatest Common Factor of 152,5570 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,5570 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 5570

List of positive integer factors of 5570 that divides 5570 without a remainder.

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 152,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 152,5570 is 2.


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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/152, 2945/5570

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 39/152, 2945/5570?

Answer: LCM of Numerators as per given numbers 39/152, 2945/5570 is

LCM of Numerators i.e. for 39,2945 is 114855

GCF of denominators i.e. for 152,5570 is 2.

Thus, LCM of Fractions is 114855/2.Finally, LCM of Fractions for 39/152, 2945/5570 is 114855/2.