Least Common Multiple of 49/431, 70/354, 970/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/431, 70/354, 970/138 quickly i.e. 47530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/431, 70/354, 970/138 is 47530.

LCM(49/431, 70/354, 970/138) = 47530

LCM of 49/431, 70/354, 970/138

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 49/431,70/354,970/138

Given numbers are 49/431,70/354,970/138

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 49,70,970

Least Common Multiple of Numerators i.e. LCM of 49,70,970 is 47530.

GCF of Denominators means GCF of 431,354,138 as per the given fractions.

GCF of 431,354,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,70,970

LCM of Fractions 49/431,70/354,970/138 is 47530

2 49, 70, 970
5 49, 35, 485
7 49, 7, 97
1, 7, 97

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 7 x 97 = 47530

Least Common Multiple of 49,70,970 with GCF Formula

Least Common Multiple of 49,70,970 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 49,70,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,70,970) = 1

common factors(in case of two or more numbers have common factors) = 70

GCF(49,70,970) x common factors =1 x 70 = 70

LCM(49,70,970) = ( 49 × 70 × 970 ) / 70

LCM(49,70,970) = 3327100 / 70

LCM(49,70,970) = 47530


Lets's calculate GCF of 431,354,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47530/1

Therefore the LCM of Fractions 49/431,70/354,970/138 is 47530

Greatest Common Factor of 431,354,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,354,138 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 431,354,138 . The biggest common factor number is the GCF number.
So the greatest common factor 431,354,138 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 49/431, 70/354, 970/138

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 49/431, 70/354, 970/138?

Answer: LCM of Numerators as per given numbers 49/431, 70/354, 970/138 is

LCM of Numerators i.e. for 49,70,970 is 47530

GCF of denominators i.e. for 431,354,138 is 1.

Thus, LCM of Fractions is 47530.Finally, LCM of Fractions for 49/431, 70/354, 970/138 is 47530.