Least Common Multiple of 37/985, 5041/6880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/985, 5041/6880 quickly i.e. 186517/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/985, 5041/6880 is 186517/5.

LCM(37/985, 5041/6880) = 186517/5

LCM of 37/985, 5041/6880

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 37/985,5041/6880

Given numbers are 37/985,5041/6880

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 37,5041

Least Common Multiple of Numerators i.e. LCM of 37,5041 is 186517.

GCF of Denominators means GCF of 985,6880 as per the given fractions.

GCF of 985,6880 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,5041

LCM of Fractions 37/985,5041/6880 is 186517/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 186517

Least Common Multiple of 37,5041 with GCF Formula

Least Common Multiple of 37,5041 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 37,5041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,5041) = 1

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

GCF(37,5041) x common factors =1 x 1 = 1

LCM(37,5041) = ( 37 × 5041 ) / 1

LCM(37,5041) = 186517 / 1

LCM(37,5041) = 186517


Lets's calculate GCF of 985,6880

5 985, 6880
197, 1376

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186517/5

Therefore the LCM of Fractions 37/985,5041/6880 is 186517/5

Greatest Common Factor of 985,6880 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,6880 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Greatest Common Factor

We found the factors 985,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 985,6880 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/985, 5041/6880

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 37/985, 5041/6880?

Answer: LCM of Numerators as per given numbers 37/985, 5041/6880 is

LCM of Numerators i.e. for 37,5041 is 186517

GCF of denominators i.e. for 985,6880 is 5.

Thus, LCM of Fractions is 186517/5.Finally, LCM of Fractions for 37/985, 5041/6880 is 186517/5.