Least Common Multiple of 91/98, 19/14, 42/77, 495/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/98, 19/14, 42/77, 495/16 quickly i.e. 1711710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/98, 19/14, 42/77, 495/16 is 1711710.

LCM(91/98, 19/14, 42/77, 495/16) = 1711710

LCM of 91/98, 19/14, 42/77, 495/16

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 91/98,19/14,42/77,495/16

Given numbers are 91/98,19/14,42/77,495/16

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 91,19,42,495

Least Common Multiple of Numerators i.e. LCM of 91,19,42,495 is 1711710.

GCF of Denominators means GCF of 98,14,77,16 as per the given fractions.

GCF of 98,14,77,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,19,42,495

LCM of Fractions 91/98,19/14,42/77,495/16 is 1711710

3 91, 19, 42, 495
7 91, 19, 14, 165
13, 19, 2, 165

∴ So the LCM of the given numbers is 3 x 7 x 13 x 19 x 2 x 165 = 1711710

Least Common Multiple of 91,19,42,495 with GCF Formula

Least Common Multiple of 91,19,42,495 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 91,19,42,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,19,42,495) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(91,19,42,495) x common factors =1 x 21 = 21

LCM(91,19,42,495) = ( 91 × 19 × 42 × 495 ) / 21

LCM(91,19,42,495) = 35945910 / 21

LCM(91,19,42,495) = 1711710


Lets's calculate GCF of 98,14,77,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711710/1

Therefore the LCM of Fractions 91/98,19/14,42/77,495/16 is 1711710

Greatest Common Factor of 98,14,77,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,14,77,16 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 98,14,77,16 . The biggest common factor number is the GCF number.
So the greatest common factor 98,14,77,16 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 91/98, 19/14, 42/77, 495/16

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 91/98, 19/14, 42/77, 495/16?

Answer: LCM of Numerators as per given numbers 91/98, 19/14, 42/77, 495/16 is

LCM of Numerators i.e. for 91,19,42,495 is 1711710

GCF of denominators i.e. for 98,14,77,16 is 1.

Thus, LCM of Fractions is 1711710.Finally, LCM of Fractions for 91/98, 19/14, 42/77, 495/16 is 1711710.