Least Common Multiple of 761/834, 482/280, 962/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/834, 482/280, 962/774 quickly i.e. 88215881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/834, 482/280, 962/774 is 88215881.

LCM(761/834, 482/280, 962/774) = 88215881

LCM of 761/834, 482/280, 962/774

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 761/834,482/280,962/774

Given numbers are 761/834,482/280,962/774

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 761,482,962

Least Common Multiple of Numerators i.e. LCM of 761,482,962 is 176431762.

GCF of Denominators means GCF of 834,280,774 as per the given fractions.

GCF of 834,280,774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,482,962

LCM of Fractions 761/834,482/280,962/774 is 88215881

2 761, 482, 962
761, 241, 481

∴ So the LCM of the given numbers is 2 x 761 x 241 x 481 = 176431762

Least Common Multiple of 761,482,962 with GCF Formula

Least Common Multiple of 761,482,962 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 761,482,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,482,962) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(761,482,962) x common factors =1 x 2 = 2

LCM(761,482,962) = ( 761 × 482 × 962 ) / 2

LCM(761,482,962) = 352863524 / 2

LCM(761,482,962) = 176431762


Lets's calculate GCF of 834,280,774

2 834, 280, 774
417, 140, 387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176431762/2

Therefore the LCM of Fractions 761/834,482/280,962/774 is 88215881

Greatest Common Factor of 834,280,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,280,774 By Matching Biggest Common Factor Method

Factors of 834

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

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

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 834,280,774 . The biggest common factor number is the GCF number.
So the greatest common factor 834,280,774 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 761/834, 482/280, 962/774

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 761/834, 482/280, 962/774?

Answer: LCM of Numerators as per given numbers 761/834, 482/280, 962/774 is

LCM of Numerators i.e. for 761,482,962 is 176431762

GCF of denominators i.e. for 834,280,774 is 2.

Thus, LCM of Fractions is 88215881.Finally, LCM of Fractions for 761/834, 482/280, 962/774 is 88215881.