Least Common Multiple of 35/92, 15/19, 21/99, 71/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/92, 15/19, 21/99, 71/714 quickly i.e. 7455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/92, 15/19, 21/99, 71/714 is 7455.

LCM(35/92, 15/19, 21/99, 71/714) = 7455

LCM of 35/92, 15/19, 21/99, 71/714

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 35/92,15/19,21/99,71/714

Given numbers are 35/92,15/19,21/99,71/714

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 35,15,21,71

Least Common Multiple of Numerators i.e. LCM of 35,15,21,71 is 7455.

GCF of Denominators means GCF of 92,19,99,714 as per the given fractions.

GCF of 92,19,99,714 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,15,21,71

LCM of Fractions 35/92,15/19,21/99,71/714 is 7455

3 35, 15, 21, 71
5 35, 5, 7, 71
7 7, 1, 7, 71
1, 1, 1, 71

∴ So the LCM of the given numbers is 3 x 5 x 7 x 1 x 1 x 1 x 71 = 7455

Least Common Multiple of 35,15,21,71 with GCF Formula

Least Common Multiple of 35,15,21,71 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 35,15,21,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,15,21,71) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(35,15,21,71) x common factors =1 x 105 = 105

LCM(35,15,21,71) = ( 35 × 15 × 21 × 71 ) / 105

LCM(35,15,21,71) = 782775 / 105

LCM(35,15,21,71) = 7455


Lets's calculate GCF of 92,19,99,714

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7455/1

Therefore the LCM of Fractions 35/92,15/19,21/99,71/714 is 7455

Greatest Common Factor of 92,19,99,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,19,99,714 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 92,19,99,714 . The biggest common factor number is the GCF number.
So the greatest common factor 92,19,99,714 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 35/92, 15/19, 21/99, 71/714

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 35/92, 15/19, 21/99, 71/714?

Answer: LCM of Numerators as per given numbers 35/92, 15/19, 21/99, 71/714 is

LCM of Numerators i.e. for 35,15,21,71 is 7455

GCF of denominators i.e. for 92,19,99,714 is 1.

Thus, LCM of Fractions is 7455.Finally, LCM of Fractions for 35/92, 15/19, 21/99, 71/714 is 7455.