Least Common Multiple of 76/94, 420/46, 126/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/94, 420/46, 126/840 quickly i.e. 11970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/94, 420/46, 126/840 is 11970.

LCM(76/94, 420/46, 126/840) = 11970

LCM of 76/94, 420/46, 126/840

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 76/94,420/46,126/840

Given numbers are 76/94,420/46,126/840

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 76,420,126

Least Common Multiple of Numerators i.e. LCM of 76,420,126 is 23940.

GCF of Denominators means GCF of 94,46,840 as per the given fractions.

GCF of 94,46,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,420,126

LCM of Fractions 76/94,420/46,126/840 is 11970

2 76, 420, 126
2 38, 210, 63
3 19, 105, 63
7 19, 35, 21
19, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 5 x 3 = 23940

Least Common Multiple of 76,420,126 with GCF Formula

Least Common Multiple of 76,420,126 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 76,420,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,420,126) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(76,420,126) x common factors =2 x 84 = 168

LCM(76,420,126) = ( 76 × 420 × 126 ) / 168

LCM(76,420,126) = 4021920 / 168

LCM(76,420,126) = 23940


Lets's calculate GCF of 94,46,840

2 94, 46, 840
47, 23, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23940/2

Therefore the LCM of Fractions 76/94,420/46,126/840 is 11970

Greatest Common Factor of 94,46,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,46,840 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 94,46,840 . The biggest common factor number is the GCF number.
So the greatest common factor 94,46,840 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 76/94, 420/46, 126/840

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 76/94, 420/46, 126/840?

Answer: LCM of Numerators as per given numbers 76/94, 420/46, 126/840 is

LCM of Numerators i.e. for 76,420,126 is 23940

GCF of denominators i.e. for 94,46,840 is 2.

Thus, LCM of Fractions is 11970.Finally, LCM of Fractions for 76/94, 420/46, 126/840 is 11970.