Least Common Multiple of 91/77, 78/55, 63/15, 98/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/77, 78/55, 63/15, 98/834 quickly i.e. 11466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/77, 78/55, 63/15, 98/834 is 11466.

LCM(91/77, 78/55, 63/15, 98/834) = 11466

LCM of 91/77, 78/55, 63/15, 98/834

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 91/77,78/55,63/15,98/834

Given numbers are 91/77,78/55,63/15,98/834

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 91,78,63,98

Least Common Multiple of Numerators i.e. LCM of 91,78,63,98 is 11466.

GCF of Denominators means GCF of 77,55,15,834 as per the given fractions.

GCF of 77,55,15,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,78,63,98

LCM of Fractions 91/77,78/55,63/15,98/834 is 11466

2 91, 78, 63, 98
3 91, 39, 63, 49
7 91, 13, 21, 49
13 13, 13, 3, 7
1, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 1 x 1 x 3 x 7 = 11466

Least Common Multiple of 91,78,63,98 with GCF Formula

Least Common Multiple of 91,78,63,98 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 91,78,63,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,78,63,98) = 1

common factors(in case of two or more numbers have common factors) = 3822

GCF(91,78,63,98) x common factors =1 x 3822 = 3822

LCM(91,78,63,98) = ( 91 × 78 × 63 × 98 ) / 3822

LCM(91,78,63,98) = 43823052 / 3822

LCM(91,78,63,98) = 11466


Lets's calculate GCF of 77,55,15,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11466/1

Therefore the LCM of Fractions 91/77,78/55,63/15,98/834 is 11466

Greatest Common Factor of 77,55,15,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,55,15,834 By Matching Biggest Common Factor Method

Factors of 77

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

1,7,11,77

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 77,55,15,834 . The biggest common factor number is the GCF number.
So the greatest common factor 77,55,15,834 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 91/77, 78/55, 63/15, 98/834

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 91/77, 78/55, 63/15, 98/834?

Answer: LCM of Numerators as per given numbers 91/77, 78/55, 63/15, 98/834 is

LCM of Numerators i.e. for 91,78,63,98 is 11466

GCF of denominators i.e. for 77,55,15,834 is 1.

Thus, LCM of Fractions is 11466.Finally, LCM of Fractions for 91/77, 78/55, 63/15, 98/834 is 11466.