Least Common Multiple of 70/246, 99/251, 472/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/246, 99/251, 472/974 quickly i.e. 1635480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/246, 99/251, 472/974 is 1635480.

LCM(70/246, 99/251, 472/974) = 1635480

LCM of 70/246, 99/251, 472/974

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 70/246,99/251,472/974

Given numbers are 70/246,99/251,472/974

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 70,99,472

Least Common Multiple of Numerators i.e. LCM of 70,99,472 is 1635480.

GCF of Denominators means GCF of 246,251,974 as per the given fractions.

GCF of 246,251,974 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,99,472

LCM of Fractions 70/246,99/251,472/974 is 1635480

2 70, 99, 472
35, 99, 236

∴ So the LCM of the given numbers is 2 x 35 x 99 x 236 = 1635480

Least Common Multiple of 70,99,472 with GCF Formula

Least Common Multiple of 70,99,472 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 70,99,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,99,472) = 1

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

GCF(70,99,472) x common factors =1 x 2 = 2

LCM(70,99,472) = ( 70 × 99 × 472 ) / 2

LCM(70,99,472) = 3270960 / 2

LCM(70,99,472) = 1635480


Lets's calculate GCF of 246,251,974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1635480/1

Therefore the LCM of Fractions 70/246,99/251,472/974 is 1635480

Greatest Common Factor of 246,251,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,251,974 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 246,251,974 . The biggest common factor number is the GCF number.
So the greatest common factor 246,251,974 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 70/246, 99/251, 472/974

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 70/246, 99/251, 472/974?

Answer: LCM of Numerators as per given numbers 70/246, 99/251, 472/974 is

LCM of Numerators i.e. for 70,99,472 is 1635480

GCF of denominators i.e. for 246,251,974 is 1.

Thus, LCM of Fractions is 1635480.Finally, LCM of Fractions for 70/246, 99/251, 472/974 is 1635480.