Least Common Multiple of 77/98, 265/58, 282/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/98, 265/58, 282/766 quickly i.e. 2877105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/98, 265/58, 282/766 is 2877105.

LCM(77/98, 265/58, 282/766) = 2877105

LCM of 77/98, 265/58, 282/766

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 77/98,265/58,282/766

Given numbers are 77/98,265/58,282/766

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 77,265,282

Least Common Multiple of Numerators i.e. LCM of 77,265,282 is 5754210.

GCF of Denominators means GCF of 98,58,766 as per the given fractions.

GCF of 98,58,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,265,282

LCM of Fractions 77/98,265/58,282/766 is 2877105

Given numbers has no common factors except 1. So, there LCM is their product i.e 5754210

Least Common Multiple of 77,265,282 with GCF Formula

Least Common Multiple of 77,265,282 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 77,265,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,265,282) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,265,282) x common factors =1 x 1 = 1

LCM(77,265,282) = ( 77 × 265 × 282 ) / 1

LCM(77,265,282) = 5754210 / 1

LCM(77,265,282) = 5754210


Lets's calculate GCF of 98,58,766

2 98, 58, 766
49, 29, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5754210/2

Therefore the LCM of Fractions 77/98,265/58,282/766 is 2877105

Greatest Common Factor of 98,58,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,58,766 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 98,58,766 . The biggest common factor number is the GCF number.
So the greatest common factor 98,58,766 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 77/98, 265/58, 282/766

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 77/98, 265/58, 282/766?

Answer: LCM of Numerators as per given numbers 77/98, 265/58, 282/766 is

LCM of Numerators i.e. for 77,265,282 is 5754210

GCF of denominators i.e. for 98,58,766 is 2.

Thus, LCM of Fractions is 2877105.Finally, LCM of Fractions for 77/98, 265/58, 282/766 is 2877105.