Least Common Multiple of 2520/712, 1052/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2520/712, 1052/632 quickly i.e. 82845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2520/712, 1052/632 is 82845.

LCM(2520/712, 1052/632) = 82845

LCM of 2520/712, 1052/632

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 2520/712,1052/632

Given numbers are 2520/712,1052/632

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 2520,1052

Least Common Multiple of Numerators i.e. LCM of 2520,1052 is 662760.

GCF of Denominators means GCF of 712,632 as per the given fractions.

GCF of 712,632 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2520,1052

LCM of Fractions 2520/712,1052/632 is 82845

2 2520, 1052
2 1260, 526
630, 263

∴ So the LCM of the given numbers is 2 x 2 x 630 x 263 = 662760

Least Common Multiple of 2520,1052 with GCF Formula

Least Common Multiple of 2520,1052 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 2520,1052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2520,1052) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(2520,1052) x common factors =4 x 1 = 4

LCM(2520,1052) = ( 2520 × 1052 ) / 4

LCM(2520,1052) = 2651040 / 4

LCM(2520,1052) = 662760


Lets's calculate GCF of 712,632

2 712, 632
2 356, 316
2 178, 158
89, 79

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662760/8

Therefore the LCM of Fractions 2520/712,1052/632 is 82845

Greatest Common Factor of 712,632 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,632 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Greatest Common Factor

We found the factors 712,632 . The biggest common factor number is the GCF number.
So the greatest common factor 712,632 is 8.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2520/712, 1052/632

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 2520/712, 1052/632?

Answer: LCM of Numerators as per given numbers 2520/712, 1052/632 is

LCM of Numerators i.e. for 2520,1052 is 662760

GCF of denominators i.e. for 712,632 is 8.

Thus, LCM of Fractions is 82845.Finally, LCM of Fractions for 2520/712, 1052/632 is 82845.