Least Common Multiple of 7657/716, 3701/6424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7657/716, 3701/6424 quickly i.e. 28338557/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7657/716, 3701/6424 is 28338557/4.

LCM(7657/716, 3701/6424) = 28338557/4

LCM of 7657/716, 3701/6424

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 7657/716,3701/6424

Given numbers are 7657/716,3701/6424

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 7657,3701

Least Common Multiple of Numerators i.e. LCM of 7657,3701 is 28338557.

GCF of Denominators means GCF of 716,6424 as per the given fractions.

GCF of 716,6424 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7657,3701

LCM of Fractions 7657/716,3701/6424 is 28338557/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 28338557

Least Common Multiple of 7657,3701 with GCF Formula

Least Common Multiple of 7657,3701 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 7657,3701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7657,3701) = 1

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

GCF(7657,3701) x common factors =1 x 1 = 1

LCM(7657,3701) = ( 7657 × 3701 ) / 1

LCM(7657,3701) = 28338557 / 1

LCM(7657,3701) = 28338557


Lets's calculate GCF of 716,6424

2 716, 6424
2 358, 3212
179, 1606

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28338557/4

Therefore the LCM of Fractions 7657/716,3701/6424 is 28338557/4

Greatest Common Factor of 716,6424 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,6424 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 6424

List of positive integer factors of 6424 that divides 6424 without a remainder.

1,2,4,8,11,22,44,73,88,146,292,584,803,1606,3212,6424

Greatest Common Factor

We found the factors 716,6424 . The biggest common factor number is the GCF number.
So the greatest common factor 716,6424 is 4.


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 7657/716, 3701/6424

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 7657/716, 3701/6424?

Answer: LCM of Numerators as per given numbers 7657/716, 3701/6424 is

LCM of Numerators i.e. for 7657,3701 is 28338557

GCF of denominators i.e. for 716,6424 is 4.

Thus, LCM of Fractions is 28338557/4.Finally, LCM of Fractions for 7657/716, 3701/6424 is 28338557/4.