Least Common Multiple of 88/409, 629/346, 356/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/409, 629/346, 356/700 quickly i.e. 4926328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/409, 629/346, 356/700 is 4926328.

LCM(88/409, 629/346, 356/700) = 4926328

LCM of 88/409, 629/346, 356/700

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 88/409,629/346,356/700

Given numbers are 88/409,629/346,356/700

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 88,629,356

Least Common Multiple of Numerators i.e. LCM of 88,629,356 is 4926328.

GCF of Denominators means GCF of 409,346,700 as per the given fractions.

GCF of 409,346,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,629,356

LCM of Fractions 88/409,629/346,356/700 is 4926328

2 88, 629, 356
2 44, 629, 178
22, 629, 89

∴ So the LCM of the given numbers is 2 x 2 x 22 x 629 x 89 = 4926328

Least Common Multiple of 88,629,356 with GCF Formula

Least Common Multiple of 88,629,356 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 88,629,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,629,356) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(88,629,356) x common factors =1 x 4 = 4

LCM(88,629,356) = ( 88 × 629 × 356 ) / 4

LCM(88,629,356) = 19705312 / 4

LCM(88,629,356) = 4926328


Lets's calculate GCF of 409,346,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4926328/1

Therefore the LCM of Fractions 88/409,629/346,356/700 is 4926328

Greatest Common Factor of 409,346,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,346,700 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 409,346,700 . The biggest common factor number is the GCF number.
So the greatest common factor 409,346,700 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 88/409, 629/346, 356/700

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 88/409, 629/346, 356/700?

Answer: LCM of Numerators as per given numbers 88/409, 629/346, 356/700 is

LCM of Numerators i.e. for 88,629,356 is 4926328

GCF of denominators i.e. for 409,346,700 is 1.

Thus, LCM of Fractions is 4926328.Finally, LCM of Fractions for 88/409, 629/346, 356/700 is 4926328.