Least Common Multiple of 651/617, 8076/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 651/617, 8076/674 quickly i.e. 1752492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 651/617, 8076/674 is 1752492.

LCM(651/617, 8076/674) = 1752492

LCM of 651/617, 8076/674

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 651/617,8076/674

Given numbers are 651/617,8076/674

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 651,8076

Least Common Multiple of Numerators i.e. LCM of 651,8076 is 1752492.

GCF of Denominators means GCF of 617,674 as per the given fractions.

GCF of 617,674 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 651,8076

LCM of Fractions 651/617,8076/674 is 1752492

3 651, 8076
217, 2692

∴ So the LCM of the given numbers is 3 x 217 x 2692 = 1752492

Least Common Multiple of 651,8076 with GCF Formula

Least Common Multiple of 651,8076 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 651,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,8076) = 3

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

GCF(651,8076) x common factors =3 x 1 = 3

LCM(651,8076) = ( 651 × 8076 ) / 3

LCM(651,8076) = 5257476 / 3

LCM(651,8076) = 1752492


Lets's calculate GCF of 617,674

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1752492/1

Therefore the LCM of Fractions 651/617,8076/674 is 1752492

Greatest Common Factor of 617,674 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,674 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Greatest Common Factor

We found the factors 617,674 . The biggest common factor number is the GCF number.
So the greatest common factor 617,674 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 651/617, 8076/674

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 651/617, 8076/674?

Answer: LCM of Numerators as per given numbers 651/617, 8076/674 is

LCM of Numerators i.e. for 651,8076 is 1752492

GCF of denominators i.e. for 617,674 is 1.

Thus, LCM of Fractions is 1752492.Finally, LCM of Fractions for 651/617, 8076/674 is 1752492.