Least Common Multiple of 960/830, 261/900, 926/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 960/830, 261/900, 926/776 quickly i.e. 19334880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/830, 261/900, 926/776 is 19334880.

LCM(960/830, 261/900, 926/776) = 19334880

LCM of 960/830, 261/900, 926/776

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 960/830,261/900,926/776

Given numbers are 960/830,261/900,926/776

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 960,261,926

Least Common Multiple of Numerators i.e. LCM of 960,261,926 is 38669760.

GCF of Denominators means GCF of 830,900,776 as per the given fractions.

GCF of 830,900,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,261,926

LCM of Fractions 960/830,261/900,926/776 is 19334880

2 960, 261, 926
3 480, 261, 463
160, 87, 463

∴ So the LCM of the given numbers is 2 x 3 x 160 x 87 x 463 = 38669760

Least Common Multiple of 960,261,926 with GCF Formula

Least Common Multiple of 960,261,926 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 960,261,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,261,926) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(960,261,926) x common factors =1 x 6 = 6

LCM(960,261,926) = ( 960 × 261 × 926 ) / 6

LCM(960,261,926) = 232018560 / 6

LCM(960,261,926) = 38669760


Lets's calculate GCF of 830,900,776

2 830, 900, 776
415, 450, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38669760/2

Therefore the LCM of Fractions 960/830,261/900,926/776 is 19334880

Greatest Common Factor of 830,900,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,900,776 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 830,900,776 . The biggest common factor number is the GCF number.
So the greatest common factor 830,900,776 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 960/830, 261/900, 926/776

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 960/830, 261/900, 926/776?

Answer: LCM of Numerators as per given numbers 960/830, 261/900, 926/776 is

LCM of Numerators i.e. for 960,261,926 is 38669760

GCF of denominators i.e. for 830,900,776 is 2.

Thus, LCM of Fractions is 19334880.Finally, LCM of Fractions for 960/830, 261/900, 926/776 is 19334880.