Least Common Multiple of 761/627, 770/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 761/627, 770/643 quickly i.e. 585970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/627, 770/643 is 585970.

LCM(761/627, 770/643) = 585970

LCM of 761/627, 770/643

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 761/627,770/643

Given numbers are 761/627,770/643

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 761,770

Least Common Multiple of Numerators i.e. LCM of 761,770 is 585970.

GCF of Denominators means GCF of 627,643 as per the given fractions.

GCF of 627,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,770

LCM of Fractions 761/627,770/643 is 585970

Given numbers has no common factors except 1. So, there LCM is their product i.e 585970

Least Common Multiple of 761,770 with GCF Formula

Least Common Multiple of 761,770 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 761,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,770) = 1

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

GCF(761,770) x common factors =1 x 1 = 1

LCM(761,770) = ( 761 × 770 ) / 1

LCM(761,770) = 585970 / 1

LCM(761,770) = 585970


Lets's calculate GCF of 627,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585970/1

Therefore the LCM of Fractions 761/627,770/643 is 585970

Greatest Common Factor of 627,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,643 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 627,643 . The biggest common factor number is the GCF number.
So the greatest common factor 627,643 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 761/627, 770/643

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 761/627, 770/643?

Answer: LCM of Numerators as per given numbers 761/627, 770/643 is

LCM of Numerators i.e. for 761,770 is 585970

GCF of denominators i.e. for 627,643 is 1.

Thus, LCM of Fractions is 585970.Finally, LCM of Fractions for 761/627, 770/643 is 585970.