Least Common Multiple of 1026/852, 1077/1901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1026/852, 1077/1901 quickly i.e. 368334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1026/852, 1077/1901 is 368334.

LCM(1026/852, 1077/1901) = 368334

LCM of 1026/852, 1077/1901

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 1026/852,1077/1901

Given numbers are 1026/852,1077/1901

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 1026,1077

Least Common Multiple of Numerators i.e. LCM of 1026,1077 is 368334.

GCF of Denominators means GCF of 852,1901 as per the given fractions.

GCF of 852,1901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1026,1077

LCM of Fractions 1026/852,1077/1901 is 368334

3 1026, 1077
342, 359

∴ So the LCM of the given numbers is 3 x 342 x 359 = 368334

Least Common Multiple of 1026,1077 with GCF Formula

Least Common Multiple of 1026,1077 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 1026,1077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1026,1077) = 3

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

GCF(1026,1077) x common factors =3 x 1 = 3

LCM(1026,1077) = ( 1026 × 1077 ) / 3

LCM(1026,1077) = 1105002 / 3

LCM(1026,1077) = 368334


Lets's calculate GCF of 852,1901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368334/1

Therefore the LCM of Fractions 1026/852,1077/1901 is 368334

Greatest Common Factor of 852,1901 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,1901 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 1901

List of positive integer factors of 1901 that divides 1901 without a remainder.

1,1901

Greatest Common Factor

We found the factors 852,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 852,1901 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 1026/852, 1077/1901

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 1026/852, 1077/1901?

Answer: LCM of Numerators as per given numbers 1026/852, 1077/1901 is

LCM of Numerators i.e. for 1026,1077 is 368334

GCF of denominators i.e. for 852,1901 is 1.

Thus, LCM of Fractions is 368334.Finally, LCM of Fractions for 1026/852, 1077/1901 is 368334.