Least Common Multiple of 78/426, 92/925, 816/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/426, 92/925, 816/670 quickly i.e. 243984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/426, 92/925, 816/670 is 243984.

LCM(78/426, 92/925, 816/670) = 243984

LCM of 78/426, 92/925, 816/670

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 78/426,92/925,816/670

Given numbers are 78/426,92/925,816/670

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 78,92,816

Least Common Multiple of Numerators i.e. LCM of 78,92,816 is 243984.

GCF of Denominators means GCF of 426,925,670 as per the given fractions.

GCF of 426,925,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,92,816

LCM of Fractions 78/426,92/925,816/670 is 243984

2 78, 92, 816
2 39, 46, 408
3 39, 23, 204
13, 23, 68

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 23 x 68 = 243984

Least Common Multiple of 78,92,816 with GCF Formula

Least Common Multiple of 78,92,816 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 78,92,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,92,816) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(78,92,816) x common factors =2 x 12 = 24

LCM(78,92,816) = ( 78 × 92 × 816 ) / 24

LCM(78,92,816) = 5855616 / 24

LCM(78,92,816) = 243984


Lets's calculate GCF of 426,925,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243984/1

Therefore the LCM of Fractions 78/426,92/925,816/670 is 243984

Greatest Common Factor of 426,925,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,925,670 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 426,925,670 . The biggest common factor number is the GCF number.
So the greatest common factor 426,925,670 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 78/426, 92/925, 816/670

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 78/426, 92/925, 816/670?

Answer: LCM of Numerators as per given numbers 78/426, 92/925, 816/670 is

LCM of Numerators i.e. for 78,92,816 is 243984

GCF of denominators i.e. for 426,925,670 is 1.

Thus, LCM of Fractions is 243984.Finally, LCM of Fractions for 78/426, 92/925, 816/670 is 243984.