Least Common Multiple of 3787/85, 8846/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3787/85, 8846/980 quickly i.e. 33499802/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3787/85, 8846/980 is 33499802/5.

LCM(3787/85, 8846/980) = 33499802/5

LCM of 3787/85, 8846/980

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 3787/85,8846/980

Given numbers are 3787/85,8846/980

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 3787,8846

Least Common Multiple of Numerators i.e. LCM of 3787,8846 is 33499802.

GCF of Denominators means GCF of 85,980 as per the given fractions.

GCF of 85,980 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3787,8846

LCM of Fractions 3787/85,8846/980 is 33499802/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 33499802

Least Common Multiple of 3787,8846 with GCF Formula

Least Common Multiple of 3787,8846 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 3787,8846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3787,8846) = 1

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

GCF(3787,8846) x common factors =1 x 1 = 1

LCM(3787,8846) = ( 3787 × 8846 ) / 1

LCM(3787,8846) = 33499802 / 1

LCM(3787,8846) = 33499802


Lets's calculate GCF of 85,980

5 85, 980
17, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33499802/5

Therefore the LCM of Fractions 3787/85,8846/980 is 33499802/5

Greatest Common Factor of 85,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,980 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 85,980 . The biggest common factor number is the GCF number.
So the greatest common factor 85,980 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3787/85, 8846/980

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 3787/85, 8846/980?

Answer: LCM of Numerators as per given numbers 3787/85, 8846/980 is

LCM of Numerators i.e. for 3787,8846 is 33499802

GCF of denominators i.e. for 85,980 is 5.

Thus, LCM of Fractions is 33499802/5.Finally, LCM of Fractions for 3787/85, 8846/980 is 33499802/5.