Least Common Multiple of 40/986, 7747/1625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 40/986, 7747/1625 quickly i.e. 309880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/986, 7747/1625 is 309880.

LCM(40/986, 7747/1625) = 309880

LCM of 40/986, 7747/1625

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 40/986,7747/1625

Given numbers are 40/986,7747/1625

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 40,7747

Least Common Multiple of Numerators i.e. LCM of 40,7747 is 309880.

GCF of Denominators means GCF of 986,1625 as per the given fractions.

GCF of 986,1625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,7747

LCM of Fractions 40/986,7747/1625 is 309880

Given numbers has no common factors except 1. So, there LCM is their product i.e 309880

Least Common Multiple of 40,7747 with GCF Formula

Least Common Multiple of 40,7747 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 40,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,7747) = 1

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

GCF(40,7747) x common factors =1 x 1 = 1

LCM(40,7747) = ( 40 × 7747 ) / 1

LCM(40,7747) = 309880 / 1

LCM(40,7747) = 309880


Lets's calculate GCF of 986,1625

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309880/1

Therefore the LCM of Fractions 40/986,7747/1625 is 309880

Greatest Common Factor of 986,1625 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,1625 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors 986,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 986,1625 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 40/986, 7747/1625

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 40/986, 7747/1625?

Answer: LCM of Numerators as per given numbers 40/986, 7747/1625 is

LCM of Numerators i.e. for 40,7747 is 309880

GCF of denominators i.e. for 986,1625 is 1.

Thus, LCM of Fractions is 309880.Finally, LCM of Fractions for 40/986, 7747/1625 is 309880.