Least Common Multiple of 77/360, 707/837, 769/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/360, 707/837, 769/256 quickly i.e. 5980513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/360, 707/837, 769/256 is 5980513.

LCM(77/360, 707/837, 769/256) = 5980513

LCM of 77/360, 707/837, 769/256

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 77/360,707/837,769/256

Given numbers are 77/360,707/837,769/256

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 77,707,769

Least Common Multiple of Numerators i.e. LCM of 77,707,769 is 5980513.

GCF of Denominators means GCF of 360,837,256 as per the given fractions.

GCF of 360,837,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,707,769

LCM of Fractions 77/360,707/837,769/256 is 5980513

7 77, 707, 769
11, 101, 769

∴ So the LCM of the given numbers is 7 x 11 x 101 x 769 = 5980513

Least Common Multiple of 77,707,769 with GCF Formula

Least Common Multiple of 77,707,769 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 77,707,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,707,769) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,707,769) x common factors =1 x 7 = 7

LCM(77,707,769) = ( 77 × 707 × 769 ) / 7

LCM(77,707,769) = 41863591 / 7

LCM(77,707,769) = 5980513


Lets's calculate GCF of 360,837,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5980513/1

Therefore the LCM of Fractions 77/360,707/837,769/256 is 5980513

Greatest Common Factor of 360,837,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,837,256 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 360,837,256 . The biggest common factor number is the GCF number.
So the greatest common factor 360,837,256 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 77/360, 707/837, 769/256

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 77/360, 707/837, 769/256?

Answer: LCM of Numerators as per given numbers 77/360, 707/837, 769/256 is

LCM of Numerators i.e. for 77,707,769 is 5980513

GCF of denominators i.e. for 360,837,256 is 1.

Thus, LCM of Fractions is 5980513.Finally, LCM of Fractions for 77/360, 707/837, 769/256 is 5980513.