Least Common Multiple of 61/56, 492/42, 998/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/56, 492/42, 998/426 quickly i.e. 7487994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/56, 492/42, 998/426 is 7487994.

LCM(61/56, 492/42, 998/426) = 7487994

LCM of 61/56, 492/42, 998/426

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 61/56,492/42,998/426

Given numbers are 61/56,492/42,998/426

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 61,492,998

Least Common Multiple of Numerators i.e. LCM of 61,492,998 is 14975988.

GCF of Denominators means GCF of 56,42,426 as per the given fractions.

GCF of 56,42,426 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,492,998

LCM of Fractions 61/56,492/42,998/426 is 7487994

2 61, 492, 998
61, 246, 499

∴ So the LCM of the given numbers is 2 x 61 x 246 x 499 = 14975988

Least Common Multiple of 61,492,998 with GCF Formula

Least Common Multiple of 61,492,998 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 61,492,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,492,998) = 1

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

GCF(61,492,998) x common factors =1 x 2 = 2

LCM(61,492,998) = ( 61 × 492 × 998 ) / 2

LCM(61,492,998) = 29951976 / 2

LCM(61,492,998) = 14975988


Lets's calculate GCF of 56,42,426

2 56, 42, 426
28, 21, 213

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14975988/2

Therefore the LCM of Fractions 61/56,492/42,998/426 is 7487994

Greatest Common Factor of 56,42,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,42,426 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 426

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

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

Greatest Common Factor

We found the factors 56,42,426 . The biggest common factor number is the GCF number.
So the greatest common factor 56,42,426 is 2.


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 61/56, 492/42, 998/426

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 61/56, 492/42, 998/426?

Answer: LCM of Numerators as per given numbers 61/56, 492/42, 998/426 is

LCM of Numerators i.e. for 61,492,998 is 14975988

GCF of denominators i.e. for 56,42,426 is 2.

Thus, LCM of Fractions is 7487994.Finally, LCM of Fractions for 61/56, 492/42, 998/426 is 7487994.