Least Common Multiple of 709/125, 702/427, 658/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/125, 702/427, 658/454 quickly i.e. 163749222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/125, 702/427, 658/454 is 163749222.

LCM(709/125, 702/427, 658/454) = 163749222

LCM of 709/125, 702/427, 658/454

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 709/125,702/427,658/454

Given numbers are 709/125,702/427,658/454

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 709,702,658

Least Common Multiple of Numerators i.e. LCM of 709,702,658 is 163749222.

GCF of Denominators means GCF of 125,427,454 as per the given fractions.

GCF of 125,427,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,702,658

LCM of Fractions 709/125,702/427,658/454 is 163749222

2 709, 702, 658
709, 351, 329

∴ So the LCM of the given numbers is 2 x 709 x 351 x 329 = 163749222

Least Common Multiple of 709,702,658 with GCF Formula

Least Common Multiple of 709,702,658 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 709,702,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,702,658) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(709,702,658) x common factors =1 x 2 = 2

LCM(709,702,658) = ( 709 × 702 × 658 ) / 2

LCM(709,702,658) = 327498444 / 2

LCM(709,702,658) = 163749222


Lets's calculate GCF of 125,427,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163749222/1

Therefore the LCM of Fractions 709/125,702/427,658/454 is 163749222

Greatest Common Factor of 125,427,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,427,454 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 125,427,454 . The biggest common factor number is the GCF number.
So the greatest common factor 125,427,454 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 709/125, 702/427, 658/454

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 709/125, 702/427, 658/454?

Answer: LCM of Numerators as per given numbers 709/125, 702/427, 658/454 is

LCM of Numerators i.e. for 709,702,658 is 163749222

GCF of denominators i.e. for 125,427,454 is 1.

Thus, LCM of Fractions is 163749222.Finally, LCM of Fractions for 709/125, 702/427, 658/454 is 163749222.