Least Common Multiple of 51/827, 926/624, 969/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/827, 926/624, 969/737 quickly i.e. 897294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/827, 926/624, 969/737 is 897294.

LCM(51/827, 926/624, 969/737) = 897294

LCM of 51/827, 926/624, 969/737

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 51/827,926/624,969/737

Given numbers are 51/827,926/624,969/737

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 51,926,969

Least Common Multiple of Numerators i.e. LCM of 51,926,969 is 897294.

GCF of Denominators means GCF of 827,624,737 as per the given fractions.

GCF of 827,624,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,926,969

LCM of Fractions 51/827,926/624,969/737 is 897294

3 51, 926, 969
17 17, 926, 323
1, 926, 19

∴ So the LCM of the given numbers is 3 x 17 x 1 x 926 x 19 = 897294

Least Common Multiple of 51,926,969 with GCF Formula

Least Common Multiple of 51,926,969 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 51,926,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,926,969) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(51,926,969) x common factors =1 x 51 = 51

LCM(51,926,969) = ( 51 × 926 × 969 ) / 51

LCM(51,926,969) = 45761994 / 51

LCM(51,926,969) = 897294


Lets's calculate GCF of 827,624,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 897294/1

Therefore the LCM of Fractions 51/827,926/624,969/737 is 897294

Greatest Common Factor of 827,624,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,624,737 By Matching Biggest Common Factor Method

Factors of 827

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

1,827

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 827,624,737 . The biggest common factor number is the GCF number.
So the greatest common factor 827,624,737 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 51/827, 926/624, 969/737

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 51/827, 926/624, 969/737?

Answer: LCM of Numerators as per given numbers 51/827, 926/624, 969/737 is

LCM of Numerators i.e. for 51,926,969 is 897294

GCF of denominators i.e. for 827,624,737 is 1.

Thus, LCM of Fractions is 897294.Finally, LCM of Fractions for 51/827, 926/624, 969/737 is 897294.