Least Common Multiple of 84/40, 49/62, 70/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/40, 49/62, 70/624 quickly i.e. 1470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/40, 49/62, 70/624 is 1470.

LCM(84/40, 49/62, 70/624) = 1470

LCM of 84/40, 49/62, 70/624

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 84/40,49/62,70/624

Given numbers are 84/40,49/62,70/624

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 84,49,70

Least Common Multiple of Numerators i.e. LCM of 84,49,70 is 2940.

GCF of Denominators means GCF of 40,62,624 as per the given fractions.

GCF of 40,62,624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,49,70

LCM of Fractions 84/40,49/62,70/624 is 1470

2 84, 49, 70
7 42, 49, 35
6, 7, 5

∴ So the LCM of the given numbers is 2 x 7 x 6 x 7 x 5 = 2940

Least Common Multiple of 84,49,70 with GCF Formula

Least Common Multiple of 84,49,70 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 84,49,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,49,70) = 7

common factors(in case of two or more numbers have common factors) = 14

GCF(84,49,70) x common factors =7 x 14 = 98

LCM(84,49,70) = ( 84 × 49 × 70 ) / 98

LCM(84,49,70) = 288120 / 98

LCM(84,49,70) = 2940


Lets's calculate GCF of 40,62,624

2 40, 62, 624
20, 31, 312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2940/2

Therefore the LCM of Fractions 84/40,49/62,70/624 is 1470

Greatest Common Factor of 40,62,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,62,624 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 40,62,624 . The biggest common factor number is the GCF number.
So the greatest common factor 40,62,624 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/40, 49/62, 70/624

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 84/40, 49/62, 70/624?

Answer: LCM of Numerators as per given numbers 84/40, 49/62, 70/624 is

LCM of Numerators i.e. for 84,49,70 is 2940

GCF of denominators i.e. for 40,62,624 is 2.

Thus, LCM of Fractions is 1470.Finally, LCM of Fractions for 84/40, 49/62, 70/624 is 1470.