Least Common Multiple of 765/874, 4921/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/874, 4921/694 quickly i.e. 3764565/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/874, 4921/694 is 3764565/2.

LCM(765/874, 4921/694) = 3764565/2

LCM of 765/874, 4921/694

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 765/874,4921/694

Given numbers are 765/874,4921/694

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 765,4921

Least Common Multiple of Numerators i.e. LCM of 765,4921 is 3764565.

GCF of Denominators means GCF of 874,694 as per the given fractions.

GCF of 874,694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,4921

LCM of Fractions 765/874,4921/694 is 3764565/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 3764565

Least Common Multiple of 765,4921 with GCF Formula

Least Common Multiple of 765,4921 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 765,4921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,4921) = 1

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

GCF(765,4921) x common factors =1 x 1 = 1

LCM(765,4921) = ( 765 × 4921 ) / 1

LCM(765,4921) = 3764565 / 1

LCM(765,4921) = 3764565


Lets's calculate GCF of 874,694

2 874, 694
437, 347

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3764565/2

Therefore the LCM of Fractions 765/874,4921/694 is 3764565/2

Greatest Common Factor of 874,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,694 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 874,694 . The biggest common factor number is the GCF number.
So the greatest common factor 874,694 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 765/874, 4921/694

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 765/874, 4921/694?

Answer: LCM of Numerators as per given numbers 765/874, 4921/694 is

LCM of Numerators i.e. for 765,4921 is 3764565

GCF of denominators i.e. for 874,694 is 2.

Thus, LCM of Fractions is 3764565/2.Finally, LCM of Fractions for 765/874, 4921/694 is 3764565/2.