Least Common Multiple of 88/414, 705/408, 617/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/414, 705/408, 617/252 quickly i.e. 6379780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/414, 705/408, 617/252 is 6379780.

LCM(88/414, 705/408, 617/252) = 6379780

LCM of 88/414, 705/408, 617/252

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 88/414,705/408,617/252

Given numbers are 88/414,705/408,617/252

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 88,705,617

Least Common Multiple of Numerators i.e. LCM of 88,705,617 is 38278680.

GCF of Denominators means GCF of 414,408,252 as per the given fractions.

GCF of 414,408,252 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,705,617

LCM of Fractions 88/414,705/408,617/252 is 6379780

Given numbers has no common factors except 1. So, there LCM is their product i.e 38278680

Least Common Multiple of 88,705,617 with GCF Formula

Least Common Multiple of 88,705,617 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 88,705,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,705,617) = 1

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

GCF(88,705,617) x common factors =1 x 1 = 1

LCM(88,705,617) = ( 88 × 705 × 617 ) / 1

LCM(88,705,617) = 38278680 / 1

LCM(88,705,617) = 38278680


Lets's calculate GCF of 414,408,252

2 414, 408, 252
3 207, 204, 126
69, 68, 42

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38278680/6

Therefore the LCM of Fractions 88/414,705/408,617/252 is 6379780

Greatest Common Factor of 414,408,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,408,252 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 414,408,252 . The biggest common factor number is the GCF number.
So the greatest common factor 414,408,252 is 6.


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 88/414, 705/408, 617/252

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 88/414, 705/408, 617/252?

Answer: LCM of Numerators as per given numbers 88/414, 705/408, 617/252 is

LCM of Numerators i.e. for 88,705,617 is 38278680

GCF of denominators i.e. for 414,408,252 is 6.

Thus, LCM of Fractions is 6379780.Finally, LCM of Fractions for 88/414, 705/408, 617/252 is 6379780.