Least Common Multiple of 968/592, 870/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/592, 870/458 quickly i.e. 210540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/592, 870/458 is 210540.

LCM(968/592, 870/458) = 210540

LCM of 968/592, 870/458

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 968/592,870/458

Given numbers are 968/592,870/458

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 968,870

Least Common Multiple of Numerators i.e. LCM of 968,870 is 421080.

GCF of Denominators means GCF of 592,458 as per the given fractions.

GCF of 592,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,870

LCM of Fractions 968/592,870/458 is 210540

2 968, 870
484, 435

∴ So the LCM of the given numbers is 2 x 484 x 435 = 421080

Least Common Multiple of 968,870 with GCF Formula

Least Common Multiple of 968,870 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 968,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,870) = 2

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

GCF(968,870) x common factors =2 x 1 = 2

LCM(968,870) = ( 968 × 870 ) / 2

LCM(968,870) = 842160 / 2

LCM(968,870) = 421080


Lets's calculate GCF of 592,458

2 592, 458
296, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 421080/2

Therefore the LCM of Fractions 968/592,870/458 is 210540

Greatest Common Factor of 592,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,458 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 592,458 . The biggest common factor number is the GCF number.
So the greatest common factor 592,458 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 968/592, 870/458

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 968/592, 870/458?

Answer: LCM of Numerators as per given numbers 968/592, 870/458 is

LCM of Numerators i.e. for 968,870 is 421080

GCF of denominators i.e. for 592,458 is 2.

Thus, LCM of Fractions is 210540.Finally, LCM of Fractions for 968/592, 870/458 is 210540.