Least Common Multiple of 794/649, 358/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/649, 358/967 quickly i.e. 142126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/649, 358/967 is 142126.

LCM(794/649, 358/967) = 142126

LCM of 794/649, 358/967

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 794/649,358/967

Given numbers are 794/649,358/967

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 794,358

Least Common Multiple of Numerators i.e. LCM of 794,358 is 142126.

GCF of Denominators means GCF of 649,967 as per the given fractions.

GCF of 649,967 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,358

LCM of Fractions 794/649,358/967 is 142126

2 794, 358
397, 179

∴ So the LCM of the given numbers is 2 x 397 x 179 = 142126

Least Common Multiple of 794,358 with GCF Formula

Least Common Multiple of 794,358 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 794,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,358) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(794,358) x common factors =2 x 1 = 2

LCM(794,358) = ( 794 × 358 ) / 2

LCM(794,358) = 284252 / 2

LCM(794,358) = 142126


Lets's calculate GCF of 649,967

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142126/1

Therefore the LCM of Fractions 794/649,358/967 is 142126

Greatest Common Factor of 649,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,967 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 649,967 . The biggest common factor number is the GCF number.
So the greatest common factor 649,967 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 794/649, 358/967

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 794/649, 358/967?

Answer: LCM of Numerators as per given numbers 794/649, 358/967 is

LCM of Numerators i.e. for 794,358 is 142126

GCF of denominators i.e. for 649,967 is 1.

Thus, LCM of Fractions is 142126.Finally, LCM of Fractions for 794/649, 358/967 is 142126.