Least Common Multiple of 14/611, 51/816, 762/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/611, 51/816, 762/895 quickly i.e. 90678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/611, 51/816, 762/895 is 90678.

LCM(14/611, 51/816, 762/895) = 90678

LCM of 14/611, 51/816, 762/895

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 14/611,51/816,762/895

Given numbers are 14/611,51/816,762/895

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 14,51,762

Least Common Multiple of Numerators i.e. LCM of 14,51,762 is 90678.

GCF of Denominators means GCF of 611,816,895 as per the given fractions.

GCF of 611,816,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,51,762

LCM of Fractions 14/611,51/816,762/895 is 90678

2 14, 51, 762
3 7, 51, 381
7, 17, 127

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 127 = 90678

Least Common Multiple of 14,51,762 with GCF Formula

Least Common Multiple of 14,51,762 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 14,51,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,51,762) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(14,51,762) x common factors =1 x 6 = 6

LCM(14,51,762) = ( 14 × 51 × 762 ) / 6

LCM(14,51,762) = 544068 / 6

LCM(14,51,762) = 90678


Lets's calculate GCF of 611,816,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90678/1

Therefore the LCM of Fractions 14/611,51/816,762/895 is 90678

Greatest Common Factor of 611,816,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,816,895 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 611,816,895 . The biggest common factor number is the GCF number.
So the greatest common factor 611,816,895 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 14/611, 51/816, 762/895

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 14/611, 51/816, 762/895?

Answer: LCM of Numerators as per given numbers 14/611, 51/816, 762/895 is

LCM of Numerators i.e. for 14,51,762 is 90678

GCF of denominators i.e. for 611,816,895 is 1.

Thus, LCM of Fractions is 90678.Finally, LCM of Fractions for 14/611, 51/816, 762/895 is 90678.