Least Common Multiple of 896/70, 707/6025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 896/70, 707/6025 quickly i.e. 90496/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 896/70, 707/6025 is 90496/5.

LCM(896/70, 707/6025) = 90496/5

LCM of 896/70, 707/6025

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 896/70,707/6025

Given numbers are 896/70,707/6025

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 896,707

Least Common Multiple of Numerators i.e. LCM of 896,707 is 90496.

GCF of Denominators means GCF of 70,6025 as per the given fractions.

GCF of 70,6025 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 896,707

LCM of Fractions 896/70,707/6025 is 90496/5

7 896, 707
128, 101

∴ So the LCM of the given numbers is 7 x 128 x 101 = 90496

Least Common Multiple of 896,707 with GCF Formula

Least Common Multiple of 896,707 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 896,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,707) = 7

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

GCF(896,707) x common factors =7 x 1 = 7

LCM(896,707) = ( 896 × 707 ) / 7

LCM(896,707) = 633472 / 7

LCM(896,707) = 90496


Lets's calculate GCF of 70,6025

5 70, 6025
14, 1205

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90496/5

Therefore the LCM of Fractions 896/70,707/6025 is 90496/5

Greatest Common Factor of 70,6025 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,6025 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1,5,25,241,1205,6025

Greatest Common Factor

We found the factors 70,6025 . The biggest common factor number is the GCF number.
So the greatest common factor 70,6025 is 5.


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Frequently Asked Questions on Fractional LCM of 896/70, 707/6025

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 896/70, 707/6025?

Answer: LCM of Numerators as per given numbers 896/70, 707/6025 is

LCM of Numerators i.e. for 896,707 is 90496

GCF of denominators i.e. for 70,6025 is 5.

Thus, LCM of Fractions is 90496/5.Finally, LCM of Fractions for 896/70, 707/6025 is 90496/5.