Least Common Multiple of 77/68, 35/90, 51/16, 91/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/68, 35/90, 51/16, 91/310 quickly i.e. 255255/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/68, 35/90, 51/16, 91/310 is 255255/2.

LCM(77/68, 35/90, 51/16, 91/310) = 255255/2

LCM of 77/68, 35/90, 51/16, 91/310

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 77/68,35/90,51/16,91/310

Given numbers are 77/68,35/90,51/16,91/310

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 77,35,51,91

Least Common Multiple of Numerators i.e. LCM of 77,35,51,91 is 255255.

GCF of Denominators means GCF of 68,90,16,310 as per the given fractions.

GCF of 68,90,16,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,35,51,91

LCM of Fractions 77/68,35/90,51/16,91/310 is 255255/2

7 77, 35, 51, 91
11, 5, 51, 13

∴ So the LCM of the given numbers is 7 x 11 x 5 x 51 x 13 = 255255

Least Common Multiple of 77,35,51,91 with GCF Formula

Least Common Multiple of 77,35,51,91 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 77,35,51,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,35,51,91) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(77,35,51,91) x common factors =1 x 49 = 49

LCM(77,35,51,91) = ( 77 × 35 × 51 × 91 ) / 49

LCM(77,35,51,91) = 12507495 / 49

LCM(77,35,51,91) = 255255


Lets's calculate GCF of 68,90,16,310

2 68, 90, 16, 310
34, 45, 8, 155

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255255/2

Therefore the LCM of Fractions 77/68,35/90,51/16,91/310 is 255255/2

Greatest Common Factor of 68,90,16,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,90,16,310 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 16

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

1,2,4,8,16

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 68,90,16,310 . The biggest common factor number is the GCF number.
So the greatest common factor 68,90,16,310 is 2.


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 77/68, 35/90, 51/16, 91/310

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 77/68, 35/90, 51/16, 91/310?

Answer: LCM of Numerators as per given numbers 77/68, 35/90, 51/16, 91/310 is

LCM of Numerators i.e. for 77,35,51,91 is 255255

GCF of denominators i.e. for 68,90,16,310 is 2.

Thus, LCM of Fractions is 255255/2.Finally, LCM of Fractions for 77/68, 35/90, 51/16, 91/310 is 255255/2.