Least Common Multiple of 905/70, 196/83, 496/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 905/70, 196/83, 496/926 quickly i.e. 21995120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 905/70, 196/83, 496/926 is 21995120.

LCM(905/70, 196/83, 496/926) = 21995120

LCM of 905/70, 196/83, 496/926

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 905/70,196/83,496/926

Given numbers are 905/70,196/83,496/926

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 905,196,496

Least Common Multiple of Numerators i.e. LCM of 905,196,496 is 21995120.

GCF of Denominators means GCF of 70,83,926 as per the given fractions.

GCF of 70,83,926 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 905,196,496

LCM of Fractions 905/70,196/83,496/926 is 21995120

2 905, 196, 496
2 905, 98, 248
905, 49, 124

∴ So the LCM of the given numbers is 2 x 2 x 905 x 49 x 124 = 21995120

Least Common Multiple of 905,196,496 with GCF Formula

Least Common Multiple of 905,196,496 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 905,196,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,196,496) = 1

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

GCF(905,196,496) x common factors =1 x 4 = 4

LCM(905,196,496) = ( 905 × 196 × 496 ) / 4

LCM(905,196,496) = 87980480 / 4

LCM(905,196,496) = 21995120


Lets's calculate GCF of 70,83,926

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21995120/1

Therefore the LCM of Fractions 905/70,196/83,496/926 is 21995120

Greatest Common Factor of 70,83,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,83,926 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 70,83,926 . The biggest common factor number is the GCF number.
So the greatest common factor 70,83,926 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 905/70, 196/83, 496/926

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 905/70, 196/83, 496/926?

Answer: LCM of Numerators as per given numbers 905/70, 196/83, 496/926 is

LCM of Numerators i.e. for 905,196,496 is 21995120

GCF of denominators i.e. for 70,83,926 is 1.

Thus, LCM of Fractions is 21995120.Finally, LCM of Fractions for 905/70, 196/83, 496/926 is 21995120.