Least Common Multiple of 77/699, 90/136, 429/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/699, 90/136, 429/910 quickly i.e. 90090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/699, 90/136, 429/910 is 90090.

LCM(77/699, 90/136, 429/910) = 90090

LCM of 77/699, 90/136, 429/910

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 77/699,90/136,429/910

Given numbers are 77/699,90/136,429/910

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 77,90,429

Least Common Multiple of Numerators i.e. LCM of 77,90,429 is 90090.

GCF of Denominators means GCF of 699,136,910 as per the given fractions.

GCF of 699,136,910 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,90,429

LCM of Fractions 77/699,90/136,429/910 is 90090

3 77, 90, 429
11 77, 30, 143
7, 30, 13

∴ So the LCM of the given numbers is 3 x 11 x 7 x 30 x 13 = 90090

Least Common Multiple of 77,90,429 with GCF Formula

Least Common Multiple of 77,90,429 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 77,90,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,90,429) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(77,90,429) x common factors =1 x 33 = 33

LCM(77,90,429) = ( 77 × 90 × 429 ) / 33

LCM(77,90,429) = 2972970 / 33

LCM(77,90,429) = 90090


Lets's calculate GCF of 699,136,910

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90090/1

Therefore the LCM of Fractions 77/699,90/136,429/910 is 90090

Greatest Common Factor of 699,136,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,136,910 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 699,136,910 . The biggest common factor number is the GCF number.
So the greatest common factor 699,136,910 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 77/699, 90/136, 429/910

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 77/699, 90/136, 429/910?

Answer: LCM of Numerators as per given numbers 77/699, 90/136, 429/910 is

LCM of Numerators i.e. for 77,90,429 is 90090

GCF of denominators i.e. for 699,136,910 is 1.

Thus, LCM of Fractions is 90090.Finally, LCM of Fractions for 77/699, 90/136, 429/910 is 90090.