Least Common Multiple of 86/924, 885/762, 826/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/924, 885/762, 826/351 quickly i.e. 177590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/924, 885/762, 826/351 is 177590.

LCM(86/924, 885/762, 826/351) = 177590

LCM of 86/924, 885/762, 826/351

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 86/924,885/762,826/351

Given numbers are 86/924,885/762,826/351

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 86,885,826

Least Common Multiple of Numerators i.e. LCM of 86,885,826 is 532770.

GCF of Denominators means GCF of 924,762,351 as per the given fractions.

GCF of 924,762,351 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,885,826

LCM of Fractions 86/924,885/762,826/351 is 177590

2 86, 885, 826
59 43, 885, 413
43, 15, 7

∴ So the LCM of the given numbers is 2 x 59 x 43 x 15 x 7 = 532770

Least Common Multiple of 86,885,826 with GCF Formula

Least Common Multiple of 86,885,826 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 86,885,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,885,826) = 1

common factors(in case of two or more numbers have common factors) = 118

GCF(86,885,826) x common factors =1 x 118 = 118

LCM(86,885,826) = ( 86 × 885 × 826 ) / 118

LCM(86,885,826) = 62866860 / 118

LCM(86,885,826) = 532770


Lets's calculate GCF of 924,762,351

3 924, 762, 351
308, 254, 117

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 532770/3

Therefore the LCM of Fractions 86/924,885/762,826/351 is 177590

Greatest Common Factor of 924,762,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,762,351 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 924,762,351 . The biggest common factor number is the GCF number.
So the greatest common factor 924,762,351 is 3.


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 86/924, 885/762, 826/351

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 86/924, 885/762, 826/351?

Answer: LCM of Numerators as per given numbers 86/924, 885/762, 826/351 is

LCM of Numerators i.e. for 86,885,826 is 532770

GCF of denominators i.e. for 924,762,351 is 3.

Thus, LCM of Fractions is 177590.Finally, LCM of Fractions for 86/924, 885/762, 826/351 is 177590.