Least Common Multiple of 8464/700, 7170/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8464/700, 7170/908 quickly i.e. 7585860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8464/700, 7170/908 is 7585860.

LCM(8464/700, 7170/908) = 7585860

LCM of 8464/700, 7170/908

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 8464/700,7170/908

Given numbers are 8464/700,7170/908

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 8464,7170

Least Common Multiple of Numerators i.e. LCM of 8464,7170 is 30343440.

GCF of Denominators means GCF of 700,908 as per the given fractions.

GCF of 700,908 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8464,7170

LCM of Fractions 8464/700,7170/908 is 7585860

2 8464, 7170
4232, 3585

∴ So the LCM of the given numbers is 2 x 4232 x 3585 = 30343440

Least Common Multiple of 8464,7170 with GCF Formula

Least Common Multiple of 8464,7170 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 8464,7170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8464,7170) = 2

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

GCF(8464,7170) x common factors =2 x 1 = 2

LCM(8464,7170) = ( 8464 × 7170 ) / 2

LCM(8464,7170) = 60686880 / 2

LCM(8464,7170) = 30343440


Lets's calculate GCF of 700,908

2 700, 908
2 350, 454
175, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30343440/4

Therefore the LCM of Fractions 8464/700,7170/908 is 7585860

Greatest Common Factor of 700,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,908 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 700,908 . The biggest common factor number is the GCF number.
So the greatest common factor 700,908 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 8464/700, 7170/908

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 8464/700, 7170/908?

Answer: LCM of Numerators as per given numbers 8464/700, 7170/908 is

LCM of Numerators i.e. for 8464,7170 is 30343440

GCF of denominators i.e. for 700,908 is 4.

Thus, LCM of Fractions is 7585860.Finally, LCM of Fractions for 8464/700, 7170/908 is 7585860.