Least Common Multiple of 782/643, 941/264, 700/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/643, 941/264, 700/434 quickly i.e. 257551700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/643, 941/264, 700/434 is 257551700.

LCM(782/643, 941/264, 700/434) = 257551700

LCM of 782/643, 941/264, 700/434

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 782/643,941/264,700/434

Given numbers are 782/643,941/264,700/434

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 782,941,700

Least Common Multiple of Numerators i.e. LCM of 782,941,700 is 257551700.

GCF of Denominators means GCF of 643,264,434 as per the given fractions.

GCF of 643,264,434 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,941,700

LCM of Fractions 782/643,941/264,700/434 is 257551700

2 782, 941, 700
391, 941, 350

∴ So the LCM of the given numbers is 2 x 391 x 941 x 350 = 257551700

Least Common Multiple of 782,941,700 with GCF Formula

Least Common Multiple of 782,941,700 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 782,941,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,941,700) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(782,941,700) x common factors =1 x 2 = 2

LCM(782,941,700) = ( 782 × 941 × 700 ) / 2

LCM(782,941,700) = 515103400 / 2

LCM(782,941,700) = 257551700


Lets's calculate GCF of 643,264,434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257551700/1

Therefore the LCM of Fractions 782/643,941/264,700/434 is 257551700

Greatest Common Factor of 643,264,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,264,434 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 643,264,434 . The biggest common factor number is the GCF number.
So the greatest common factor 643,264,434 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 782/643, 941/264, 700/434

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 782/643, 941/264, 700/434?

Answer: LCM of Numerators as per given numbers 782/643, 941/264, 700/434 is

LCM of Numerators i.e. for 782,941,700 is 257551700

GCF of denominators i.e. for 643,264,434 is 1.

Thus, LCM of Fractions is 257551700.Finally, LCM of Fractions for 782/643, 941/264, 700/434 is 257551700.