Least Common Multiple of 35/276, 42/763, 438/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/276, 42/763, 438/813 quickly i.e. 15330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/276, 42/763, 438/813 is 15330.

LCM(35/276, 42/763, 438/813) = 15330

LCM of 35/276, 42/763, 438/813

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 35/276,42/763,438/813

Given numbers are 35/276,42/763,438/813

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 35,42,438

Least Common Multiple of Numerators i.e. LCM of 35,42,438 is 15330.

GCF of Denominators means GCF of 276,763,813 as per the given fractions.

GCF of 276,763,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,42,438

LCM of Fractions 35/276,42/763,438/813 is 15330

2 35, 42, 438
3 35, 21, 219
7 35, 7, 73
5, 1, 73

∴ So the LCM of the given numbers is 2 x 3 x 7 x 5 x 1 x 73 = 15330

Least Common Multiple of 35,42,438 with GCF Formula

Least Common Multiple of 35,42,438 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 35,42,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,42,438) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(35,42,438) x common factors =1 x 42 = 42

LCM(35,42,438) = ( 35 × 42 × 438 ) / 42

LCM(35,42,438) = 643860 / 42

LCM(35,42,438) = 15330


Lets's calculate GCF of 276,763,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15330/1

Therefore the LCM of Fractions 35/276,42/763,438/813 is 15330

Greatest Common Factor of 276,763,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,763,813 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 276,763,813 . The biggest common factor number is the GCF number.
So the greatest common factor 276,763,813 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 35/276, 42/763, 438/813

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 35/276, 42/763, 438/813?

Answer: LCM of Numerators as per given numbers 35/276, 42/763, 438/813 is

LCM of Numerators i.e. for 35,42,438 is 15330

GCF of denominators i.e. for 276,763,813 is 1.

Thus, LCM of Fractions is 15330.Finally, LCM of Fractions for 35/276, 42/763, 438/813 is 15330.