Least Common Multiple of 421/148, 452/260, 716/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/148, 452/260, 716/358 quickly i.e. 17031134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/148, 452/260, 716/358 is 17031134.

LCM(421/148, 452/260, 716/358) = 17031134

LCM of 421/148, 452/260, 716/358

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 421/148,452/260,716/358

Given numbers are 421/148,452/260,716/358

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 421,452,716

Least Common Multiple of Numerators i.e. LCM of 421,452,716 is 34062268.

GCF of Denominators means GCF of 148,260,358 as per the given fractions.

GCF of 148,260,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,452,716

LCM of Fractions 421/148,452/260,716/358 is 17031134

2 421, 452, 716
2 421, 226, 358
421, 113, 179

∴ So the LCM of the given numbers is 2 x 2 x 421 x 113 x 179 = 34062268

Least Common Multiple of 421,452,716 with GCF Formula

Least Common Multiple of 421,452,716 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 421,452,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,452,716) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(421,452,716) x common factors =1 x 4 = 4

LCM(421,452,716) = ( 421 × 452 × 716 ) / 4

LCM(421,452,716) = 136249072 / 4

LCM(421,452,716) = 34062268


Lets's calculate GCF of 148,260,358

2 148, 260, 358
74, 130, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34062268/2

Therefore the LCM of Fractions 421/148,452/260,716/358 is 17031134

Greatest Common Factor of 148,260,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,260,358 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 148,260,358 . The biggest common factor number is the GCF number.
So the greatest common factor 148,260,358 is 2.


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 421/148, 452/260, 716/358

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 421/148, 452/260, 716/358?

Answer: LCM of Numerators as per given numbers 421/148, 452/260, 716/358 is

LCM of Numerators i.e. for 421,452,716 is 34062268

GCF of denominators i.e. for 148,260,358 is 2.

Thus, LCM of Fractions is 17031134.Finally, LCM of Fractions for 421/148, 452/260, 716/358 is 17031134.