Least Common Multiple of 42/634, 19/707, 426/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/634, 19/707, 426/980 quickly i.e. 56658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/634, 19/707, 426/980 is 56658.

LCM(42/634, 19/707, 426/980) = 56658

LCM of 42/634, 19/707, 426/980

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 42/634,19/707,426/980

Given numbers are 42/634,19/707,426/980

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 42,19,426

Least Common Multiple of Numerators i.e. LCM of 42,19,426 is 56658.

GCF of Denominators means GCF of 634,707,980 as per the given fractions.

GCF of 634,707,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,19,426

LCM of Fractions 42/634,19/707,426/980 is 56658

2 42, 19, 426
3 21, 19, 213
7, 19, 71

∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 71 = 56658

Least Common Multiple of 42,19,426 with GCF Formula

Least Common Multiple of 42,19,426 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 42,19,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,19,426) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,19,426) x common factors =1 x 6 = 6

LCM(42,19,426) = ( 42 × 19 × 426 ) / 6

LCM(42,19,426) = 339948 / 6

LCM(42,19,426) = 56658


Lets's calculate GCF of 634,707,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56658/1

Therefore the LCM of Fractions 42/634,19/707,426/980 is 56658

Greatest Common Factor of 634,707,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,707,980 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 634,707,980 . The biggest common factor number is the GCF number.
So the greatest common factor 634,707,980 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 42/634, 19/707, 426/980

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 42/634, 19/707, 426/980?

Answer: LCM of Numerators as per given numbers 42/634, 19/707, 426/980 is

LCM of Numerators i.e. for 42,19,426 is 56658

GCF of denominators i.e. for 634,707,980 is 1.

Thus, LCM of Fractions is 56658.Finally, LCM of Fractions for 42/634, 19/707, 426/980 is 56658.