Least Common Multiple of 3969/776, 1899/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3969/776, 1899/312 quickly i.e. 837459/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3969/776, 1899/312 is 837459/8.

LCM(3969/776, 1899/312) = 837459/8

LCM of 3969/776, 1899/312

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 3969/776,1899/312

Given numbers are 3969/776,1899/312

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 3969,1899

Least Common Multiple of Numerators i.e. LCM of 3969,1899 is 837459.

GCF of Denominators means GCF of 776,312 as per the given fractions.

GCF of 776,312 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3969,1899

LCM of Fractions 3969/776,1899/312 is 837459/8

3 3969, 1899
3 1323, 633
441, 211

∴ So the LCM of the given numbers is 3 x 3 x 441 x 211 = 837459

Least Common Multiple of 3969,1899 with GCF Formula

Least Common Multiple of 3969,1899 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 3969,1899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3969,1899) = 9

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

GCF(3969,1899) x common factors =9 x 1 = 9

LCM(3969,1899) = ( 3969 × 1899 ) / 9

LCM(3969,1899) = 7537131 / 9

LCM(3969,1899) = 837459


Lets's calculate GCF of 776,312

2 776, 312
2 388, 156
2 194, 78
97, 39

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 837459/8

Therefore the LCM of Fractions 3969/776,1899/312 is 837459/8

Greatest Common Factor of 776,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,312 By Matching Biggest Common Factor Method

Factors of 776

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

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

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 776,312 . The biggest common factor number is the GCF number.
So the greatest common factor 776,312 is 8.


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 3969/776, 1899/312

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 3969/776, 1899/312?

Answer: LCM of Numerators as per given numbers 3969/776, 1899/312 is

LCM of Numerators i.e. for 3969,1899 is 837459

GCF of denominators i.e. for 776,312 is 8.

Thus, LCM of Fractions is 837459/8.Finally, LCM of Fractions for 3969/776, 1899/312 is 837459/8.