Least Common Multiple of 145/22, 874/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 145/22, 874/856 quickly i.e. 63365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/22, 874/856 is 63365.

LCM(145/22, 874/856) = 63365

LCM of 145/22, 874/856

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 145/22,874/856

Given numbers are 145/22,874/856

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 145,874

Least Common Multiple of Numerators i.e. LCM of 145,874 is 126730.

GCF of Denominators means GCF of 22,856 as per the given fractions.

GCF of 22,856 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,874

LCM of Fractions 145/22,874/856 is 63365

Given numbers has no common factors except 1. So, there LCM is their product i.e 126730

Least Common Multiple of 145,874 with GCF Formula

Least Common Multiple of 145,874 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 145,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,874) = 1

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

GCF(145,874) x common factors =1 x 1 = 1

LCM(145,874) = ( 145 × 874 ) / 1

LCM(145,874) = 126730 / 1

LCM(145,874) = 126730


Lets's calculate GCF of 22,856

2 22, 856
11, 428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126730/2

Therefore the LCM of Fractions 145/22,874/856 is 63365

Greatest Common Factor of 22,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,856 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 22,856 . The biggest common factor number is the GCF number.
So the greatest common factor 22,856 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 145/22, 874/856

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 145/22, 874/856?

Answer: LCM of Numerators as per given numbers 145/22, 874/856 is

LCM of Numerators i.e. for 145,874 is 126730

GCF of denominators i.e. for 22,856 is 2.

Thus, LCM of Fractions is 63365.Finally, LCM of Fractions for 145/22, 874/856 is 63365.