Least Common Multiple of 70/245, 988/184, 323/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/245, 988/184, 323/825 quickly i.e. 587860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/245, 988/184, 323/825 is 587860.

LCM(70/245, 988/184, 323/825) = 587860

LCM of 70/245, 988/184, 323/825

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 70/245,988/184,323/825

Given numbers are 70/245,988/184,323/825

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 70,988,323

Least Common Multiple of Numerators i.e. LCM of 70,988,323 is 587860.

GCF of Denominators means GCF of 245,184,825 as per the given fractions.

GCF of 245,184,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,988,323

LCM of Fractions 70/245,988/184,323/825 is 587860

2 70, 988, 323
19 35, 494, 323
35, 26, 17

∴ So the LCM of the given numbers is 2 x 19 x 35 x 26 x 17 = 587860

Least Common Multiple of 70,988,323 with GCF Formula

Least Common Multiple of 70,988,323 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 70,988,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,988,323) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(70,988,323) x common factors =1 x 38 = 38

LCM(70,988,323) = ( 70 × 988 × 323 ) / 38

LCM(70,988,323) = 22338680 / 38

LCM(70,988,323) = 587860


Lets's calculate GCF of 245,184,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 587860/1

Therefore the LCM of Fractions 70/245,988/184,323/825 is 587860

Greatest Common Factor of 245,184,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,184,825 By Matching Biggest Common Factor Method

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 245,184,825 . The biggest common factor number is the GCF number.
So the greatest common factor 245,184,825 is 1.


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 70/245, 988/184, 323/825

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 70/245, 988/184, 323/825?

Answer: LCM of Numerators as per given numbers 70/245, 988/184, 323/825 is

LCM of Numerators i.e. for 70,988,323 is 587860

GCF of denominators i.e. for 245,184,825 is 1.

Thus, LCM of Fractions is 587860.Finally, LCM of Fractions for 70/245, 988/184, 323/825 is 587860.