Least Common Multiple of 12/870, 950/777, 836/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/870, 950/777, 836/827 quickly i.e. 62700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/870, 950/777, 836/827 is 62700.

LCM(12/870, 950/777, 836/827) = 62700

LCM of 12/870, 950/777, 836/827

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 12/870,950/777,836/827

Given numbers are 12/870,950/777,836/827

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 12,950,836

Least Common Multiple of Numerators i.e. LCM of 12,950,836 is 62700.

GCF of Denominators means GCF of 870,777,827 as per the given fractions.

GCF of 870,777,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,950,836

LCM of Fractions 12/870,950/777,836/827 is 62700

2 12, 950, 836
2 6, 475, 418
19 3, 475, 209
3, 25, 11

∴ So the LCM of the given numbers is 2 x 2 x 19 x 3 x 25 x 11 = 62700

Least Common Multiple of 12,950,836 with GCF Formula

Least Common Multiple of 12,950,836 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 12,950,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,950,836) = 2

common factors(in case of two or more numbers have common factors) = 76

GCF(12,950,836) x common factors =2 x 76 = 152

LCM(12,950,836) = ( 12 × 950 × 836 ) / 152

LCM(12,950,836) = 9530400 / 152

LCM(12,950,836) = 62700


Lets's calculate GCF of 870,777,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62700/1

Therefore the LCM of Fractions 12/870,950/777,836/827 is 62700

Greatest Common Factor of 870,777,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,777,827 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 870,777,827 . The biggest common factor number is the GCF number.
So the greatest common factor 870,777,827 is 1.


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 12/870, 950/777, 836/827

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 12/870, 950/777, 836/827?

Answer: LCM of Numerators as per given numbers 12/870, 950/777, 836/827 is

LCM of Numerators i.e. for 12,950,836 is 62700

GCF of denominators i.e. for 870,777,827 is 1.

Thus, LCM of Fractions is 62700.Finally, LCM of Fractions for 12/870, 950/777, 836/827 is 62700.