Least Common Multiple of 1122/508, 4521/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1122/508, 4521/206 quickly i.e. 76857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1122/508, 4521/206 is 76857.

LCM(1122/508, 4521/206) = 76857

LCM of 1122/508, 4521/206

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 1122/508,4521/206

Given numbers are 1122/508,4521/206

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 1122,4521

Least Common Multiple of Numerators i.e. LCM of 1122,4521 is 153714.

GCF of Denominators means GCF of 508,206 as per the given fractions.

GCF of 508,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1122,4521

LCM of Fractions 1122/508,4521/206 is 76857

3 1122, 4521
11 374, 1507
34, 137

∴ So the LCM of the given numbers is 3 x 11 x 34 x 137 = 153714

Least Common Multiple of 1122,4521 with GCF Formula

Least Common Multiple of 1122,4521 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 1122,4521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1122,4521) = 33

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

GCF(1122,4521) x common factors =33 x 1 = 33

LCM(1122,4521) = ( 1122 × 4521 ) / 33

LCM(1122,4521) = 5072562 / 33

LCM(1122,4521) = 153714


Lets's calculate GCF of 508,206

2 508, 206
254, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153714/2

Therefore the LCM of Fractions 1122/508,4521/206 is 76857

Greatest Common Factor of 508,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,206 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 508,206 . The biggest common factor number is the GCF number.
So the greatest common factor 508,206 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 1122/508, 4521/206

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 1122/508, 4521/206?

Answer: LCM of Numerators as per given numbers 1122/508, 4521/206 is

LCM of Numerators i.e. for 1122,4521 is 153714

GCF of denominators i.e. for 508,206 is 2.

Thus, LCM of Fractions is 76857.Finally, LCM of Fractions for 1122/508, 4521/206 is 76857.